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      "source": [
        "# Fourier Neural Operators (FNO) in JAX\n",
        "\n",
        "together with [Equinox](https://docs.kidger.site/equinox/all-of-equinox/) and [Optax](https://optax.readthedocs.io/en/latest/)."
      ],
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    {
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      "source": [
        "![]()"
      ],
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      "source": [
        "Neural Operators are mappings between discretized function spaces, for example:\n",
        "\n",
        "* Map from an initial condition to the solution function at a later point in time (or to the entire spatiotemporal solution funciton)\n",
        "* Map from the function describing an inhomogeneous diffusivity distribution to the solution of the heat equation\n",
        "* Autoregressive timesteppers, map state $u^{[t]}_h$ to state $u_h^{[t+1]}$\n",
        "\n",
        "Fouries Neural Operators do so by employing the FFT to perform efficient **spectral convolution** taking into account global features. In that sense they are a multiscale architecture (Classical convolutional architectures are only local and their receptive field depends on the depth of the network).\n",
        "\n",
        "Neural Operators allow for the solution of a whole parametric family of PDEs!\n",
        "\n",
        "FNOs allow for **zero-shot superresolution**.\n",
        "\n",
        "## Spectral Convolutions\n",
        "\n",
        "Given the (real-valued) input discretized state $a$ (with potentially more than one channel) defined on an equidistant mesh; do the following steps:\n",
        "\n",
        "1. Transform $a$ into Fourier space (here using the real-valued Fourier transform): $\\hat{a} = \\text{rfft}(a)$ (batch over the channel dimension)\n",
        "2. Perform a batched matrix multiplication with a complex-valued weight vector $W$ for the first $K$ modes: $\\hat{\\tilde{a}}_{0:K} = W\\hat{a}_{0:K}$\n",
        "3. Set all the leftover modes to zero $\\hat{\\tilde{a}}_{K:} = 0 + 0i$\n",
        "4. Transform back into real space $\\tilde{a} = \\text{irfft}(\\hat{\\tilde{a}})$\n",
        "\n",
        "The learnable parameters for each spectral convolution are the complex-valued weight matrix of shape `(channels_out, channels_in, modes)` (Since it is complex-valued it actually has `2 * channels_out * channels_in * modes` real parameters)\n",
        "\n",
        "## Fourier Neural Operator\n",
        "\n",
        "A classical FNO consists of a lifting layer, multiple \"ResNet\"-like blocks of spectral convolutions with a bypass, and a projection layer. Projection and Lifting layer are 1x1 Convolutions to only modify the channel dimensions. The blocks operate as $b = \\text{activation}(\\tilde{a} + \\text{Conv}_{1\\times1}(a))$.\n",
        "\n",
        "\n",
        "Here, we will mimic one example done in the original paper by [Li et al.](https://arxiv.org/pdf/2010.08895.pdf) as implemented in their [reference code](https://github.com/neuraloperator/neuraloperator/blob/af93f781d5e013f8ba5c52baa547f2ada304ffb0/fourier_1d.py) to solve the **1d Burgers equation**\n",
        "\n",
        "$$ \\frac{\\partial u}{∂ t} + \\frac{1}{2}\\frac{\\partial u^2}{\\partial x} = \\nu \\frac{\\partial^2 u}{\\partial x^2} $$\n",
        "\n",
        "The domain $\\Omega = (0, 2 \\pi)$ is periodic (i.e., $u(t, x=0) = u(t, x=2 \\pi)$) and the diffusivity is fixed to $\\nu=0.1$. Our dataset consists of $2048$ initial conditions $u(t=0, x)$ on a $N=8192$ resolution together with their solution at time one $u(t=1, x)$. The goal of the FNO is to learn the mapping from initial condition to state at time one using classical supervised learning. The input to the network is the input state channel-concatenated with the spatial coordinates of the meshpoints. The output is just the state at time one.\n",
        "\n",
        "### Additional technicalities\n",
        "\n",
        "* We train on the $32$-fold downsampled dataset (i.e., $256$ DoFs instead of $8192$)\n",
        "    * Training is on the first 1000 data points\n",
        "    * Validation/Testing is on the following 200 data points\n",
        "* The FNO uses $16$ modes, $64$ hidden channels, and has four stacked spectral convolution blocks with bypass\n",
        "* The dataset is reshuffled each epoch and the batch size is $100$\n",
        "* We perform $200$ epochs in total\n",
        "* Training is done with the Adam optimizer in default settings with a fixed learning rate of 3e-4\n",
        "\n",
        "### Differences from the reference code\n",
        "\n",
        "There are minor deviations from the [reference implementation](https://github.com/neuraloperator/neuraloperator/blob/af93f781d5e013f8ba5c52baa547f2ada304ffb0/fourier_1d.py), for example:\n",
        "\n",
        "* Here, the dataset is preconcatenated with the mesh. The mesh is not concatenated with the input on the fly\n",
        "* No activation in the projection layer. Instead the final Fourier block is activated.\n",
        "* Anything I missed? I intended this script to be a pedagocial reduction, please let me know if there is an important detail I forgot."
      ],
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      "cell_type": "code",
      "source": [
        "%pip install equinox"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0yAfMzv8Jjmy",
        "outputId": "ddf9470c-1073-4e32-a0b2-b3c0f6f13cf9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting equinox\n",
            "  Downloading equinox-0.11.2-py3-none-any.whl (164 kB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m164.1/164.1 kB\u001b[0m \u001b[31m1.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hRequirement already satisfied: jax>=0.4.13 in /usr/local/lib/python3.10/dist-packages (from equinox) (0.4.20)\n",
            "Collecting jaxtyping>=0.2.20 (from equinox)\n",
            "  Downloading jaxtyping-0.2.24-py3-none-any.whl (38 kB)\n",
            "Requirement already satisfied: typing-extensions>=4.5.0 in /usr/local/lib/python3.10/dist-packages (from equinox) (4.5.0)\n",
            "Requirement already satisfied: ml-dtypes>=0.2.0 in /usr/local/lib/python3.10/dist-packages (from jax>=0.4.13->equinox) (0.2.0)\n",
            "Requirement already satisfied: numpy>=1.22 in /usr/local/lib/python3.10/dist-packages (from jax>=0.4.13->equinox) (1.23.5)\n",
            "Requirement already satisfied: opt-einsum in /usr/local/lib/python3.10/dist-packages (from jax>=0.4.13->equinox) (3.3.0)\n",
            "Requirement already satisfied: scipy>=1.9 in /usr/local/lib/python3.10/dist-packages (from jax>=0.4.13->equinox) (1.11.4)\n",
            "Collecting typeguard<3,>=2.13.3 (from jaxtyping>=0.2.20->equinox)\n",
            "  Downloading typeguard-2.13.3-py3-none-any.whl (17 kB)\n",
            "Installing collected packages: typeguard, jaxtyping, equinox\n",
            "Successfully installed equinox-0.11.2 jaxtyping-0.2.24 typeguard-2.13.3\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import jax\n",
        "import jax.numpy as jnp\n",
        "import equinox as eqx\n",
        "import optax\n",
        "import matplotlib.pyplot as plt\n",
        "from typing import Callable, List\n",
        "import scipy\n",
        "from tqdm.autonotebook import tqdm"
      ],
      "metadata": {
        "id": "55YgL0rcNQIy"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Mathworks (the creators of Matlab) host the original Li et al. dataset in the .mat format\n",
        "!wget https://ssd.mathworks.com/supportfiles/nnet/data/burgers1d/burgers_data_R10.mat"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "MdnQBpNiNctP",
        "outputId": "4b3122fb-4cd6-4c14-8aee-4f9557621b0d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "--2023-12-15 13:01:03--  https://ssd.mathworks.com/supportfiles/nnet/data/burgers1d/burgers_data_R10.mat\n",
            "Resolving ssd.mathworks.com (ssd.mathworks.com)... 23.53.217.21\n",
            "Connecting to ssd.mathworks.com (ssd.mathworks.com)|23.53.217.21|:443... connected.\n",
            "HTTP request sent, awaiting response... 200 OK\n",
            "Length: 644427710 (615M) [text/plain]\n",
            "Saving to: ‘burgers_data_R10.mat’\n",
            "\n",
            "burgers_data_R10.ma 100%[===================>] 614.57M   131MB/s    in 5.3s    \n",
            "\n",
            "2023-12-15 13:01:09 (117 MB/s) - ‘burgers_data_R10.mat’ saved [644427710/644427710]\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data = scipy.io.loadmat(\"burgers_data_R10.mat\")"
      ],
      "metadata": {
        "id": "r0A07xe8NoRc"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "a, u = data[\"a\"], data[\"u\"]"
      ],
      "metadata": {
        "id": "QAPFtSxMN1Ii"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "a.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-uXyl14XN7-F",
        "outputId": "0aa7ddd4-b92a-4c5c-f6d0-2f5cee4a2642"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(2048, 8192)"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(a[0], label=\"initial condition\")\n",
        "plt.plot(u[0], label=\"After 1 time unit\")\n",
        "plt.legend()\n",
        "plt.grid()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "RDkQ1P5ROCmW",
        "outputId": "a3e4282c-3bbf-4a1c-c447-d2478ad391de"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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eh4Z9oLQQfnwE9DXvIDchhKjtTqXnselYOoqC6XO9Vsk8BfMHw8rnYNWUG19vQZLgmFPHBzC6+bM/Yiz6+1dWeTjqekZ3qYeDRmF3UhZHU3KrXoBGC8O+AFc/SD0Af35ottiEEEJUTlnvTZ+mQdT3d7dxNGZkNMLeJTC7h7pNiZMHRHaxaUiS4JiTf0NKJ+0hMbC/2fedCfJ0oU9MEADf7zp7c4V4BMLtb6v3N78DF4+bKTohhBA3kluk4/td5wAYf2uUbYMxp6Js+OEhdbVuSR7Uv1WdmtHhfpuGJQmOuTm6WazoezqqO13+tOd81Scbl2l1DzTqp67qWvOKGaMTQghxPT/sOkdecSkNA93p3ijA1uGYx9kdMLu7ulJX0UKfl+H+X2vEUUGS4NiRXk0DCfBw4mJeCRuPpt9cIYoCA2eqS8eP/Q6nNpo1RiGEEFczGIym4anx3WrB0nCDATa9C3MHQlYS+NSHB1ZDz3/XmJ3zJcGxI45aDcPahQPw3V83OUwFENAYOj6o3l/zsmwAKIQQFrb5eDqnLubj6ezAXe0jbB1O9RTlwNJ7YcPrYNSrIwOP/gGRnWwdWTmS4NiZsmGqDUfTyC6oxkqoXi+Ck6d6SOexVWaKTgghREUWbD0NqJ/h7s5WOQbSIjyKknGY31/9u6F1hiH/g+FfqYdA1zCS4NiZJsGexIR4otMbWX3oJvbEKePmB50nqvc3v6POgBdCCGF2iRfz2XBUXRo+zo7PnVKOraLn0ddQMk6AVzg8sArajbF1WNckCY4duqN1KIDpoLab1vUJcHCF5D1XnG4uhBDCnBbGnwagd9MgogLscGm4wQAb38bhu7E4GoowRN4CD2+E8Pa2juy6JMGxQ3e0Vrf23noyg4zKHsBZEfcA6PiAen/Lf80QmRBCiCvlFZfy3V/q0vD7u0XZNpibUZwL394HG98E4FRALPoxP4FHkI0DuzFJcOxQVIA7rcK90RuMN3d0w5VueUw94TxxM6QdMU+AQgghgL+XhjcIdKeHvS0NzzgJX8XCkRWgdaJ08H85EDkOtI62jqxSJMGxU2XDVCuqO0zlEwlNB6n3d35ZzaiEEEKUMRiMLLg8PHV/1yg0GjtaGn5sDXzRG9KPgGcoTPgdY9uaO9+mIpLg2KnBlxOc7YmZpOUUVa+wzg+rt3u/sfnhaEIIUVv8ceIip9Lz8XB2YHgHO1kabjTCH+/DkhFQnK0et/DwRojoaOvIqkwSHDsV4etGu3o+GI1UbzUVQHRPCIwBXT7s/9Y8AQohRB1XtjT87g4ReNjD0vDiPPjuflg3HTBChwlw/wrwDLF1ZDdFEhw7dntL9R/d6kOp1StIUaD9OPX+vqXVjEoIIcTpi/lsOJoG2Mnk4sxTMKcfHP4ZNI5wxwfwrw/BwcnWkd00SXDs2IAWaoITfyqDrIKS6hXW6h71HJHzf8khnEIIUU0L489gNELvpoFE1/Sl4SfWqfNt0g6DRzCMX/H3Cls7JgmOHavv705MiCd6g5G1CWnVK8wjCBrFqvf3Lql+cEIIUUflF5eajtOp0b03RqO6Rcjiu6EoC8I7qvNt6t1i68jMQhIcO1fWi1PteTgAbe9Vb/cvA4O++uUJIUQd9OPuc+QWl9IgwJ2ejQNtHU7FSgrghwchbioYDdBuLExYCV5hto7MbCTBsXMDL8/D2Xwsnfzi0uoV1uR29TyRnPNwdrsZohNCiLrFaDSy4PKp4fd1rV8zl4ZfOgNz+8PBH0DjAIPegzs/AQdnW0dmVpLg2LmYEE/q+7tRXGpg07H06hXm6PL3njiHf65+cEIIUcfEn8zgRFoe7k5a7q6JS8NPbYQveqkHLbsHwrhf1HMJlRqYiFWTJDh2TlEU8w5TNR+i3ib8qp4/IoQQotLKNva7q30Eni41aMdfoxHi/wdf3wWFmRDaVp1vE3WrrSOzGElwaoGyBGd9QholpdVMShr0BicPdZgqebcZohNCiLrhfFYhcYfVbTtq1KnhukL46RFYPQWMemhzr3oSuHcN7GEyI0lwaoF2kT4EeTqTW1zK1pMXq1eYows0GaDeP7y82rEJIURdsWjbGQxG6NbQn8bBnrYOR5V1FuYOUBePKFoY+BYM/QwcXW0dmcVJglMLaDQK/VsEAxYYpjIaq1+eEELUckU6PUt3JAEwrmuUbYMpc/pPdb7NhX3g6gfjll8+YLn2zbepiCQ4tcTAFurZVGsOpaI3VDMpaRQLWie4dFo2/RNCiEpYsf8Clwp0hPu4EtssyLbBGI2w/QtYOAQKLkJIK3W+TXRP28ZlZZLg1BJdGvjh7epIRn4Ju85cql5hTu4Q1V29f3xN9YMTQohazGg0ms6dGnNLPRy0NvzTqiuCnyfB7/8GQym0vBseWAO+NWhOkJVIglNLOGo19L38v4bfD16ofoGN+qm3kuAIIcR17T2bxYHz2Tg5aBjZMdJ2gWSdhXkDYe8iUDTQ/3UY/hU4udkuJhuSBKcWGXh5NdWqgykYqjtM1bi/entmKxTnVjMyIYSovRZe3tjvX63D8Pew0WZ5iZvhi9sgeQ+4+sLYH6Dbk3Vmvk1FJMGpRXo2CcTD2YEL2UXsPZdVvcL8G4JvNBh06i+OEEKIq6TnFvPbfrXX/P5uNhgGMhoh/lNYOBQKMiCkNTy8CRr2sX4sNYwkOLWIi6PWNEy1cn81h6kUBRrLMJUQQlzPsp1JlOgNtI30oXWEj3UrL8mHHx6C1S+p+9u0HgUP1s35NhWxSoLz6aefEhUVhYuLC126dGHHjh3XvHb+/PkoilLuy8XFpdw1RqORqVOnEhoaiqurK7GxsRw/Lqt9AG5vqa6m+v1gCsbqLvEum4dzYn01oxJCiNqnVG9g0TZ1abjVe28yT8Gc/nDwe/U8qdvfgWGz68T+NpVl8QRn2bJlTJ48mVdffZXdu3fTpk0bBgwYQFpa2jVf4+XlxYULF0xfZ86cKff8O++8w0cffcTs2bPZvn077u7uDBgwgKKiIku/nRqvV9NA3J20nM8qZO/ZrOoVVr+b+ouTnaQuGRdCCGESdziVlJwi/N2dGNQq1HoVH49T97dJPfj3eVJdHqnT820qYvEEZ9asWUycOJEJEybQvHlzZs+ejZubG3Pnzr3maxRFISQkxPQVHBxses5oNPLhhx/y8ssvM2TIEFq3bs3ChQtJTk5m+fLlln47NZ6Lo5Y+zdSf18oD1RymcvaA8A7qfZmHI4QQ5ZSdOzWqcyTODlrLV6gvhXUzYPHdUJQN4R3hkc21+jyp6rBoglNSUsKuXbuIjY39u0KNhtjYWOLj46/5ury8POrXr09kZCRDhgzh0KFDpucSExNJSUkpV6a3tzddunS5bpl1yeBW6mqqlQfMMExVtjFU4h/VjEoIIWqPoym5bDuViVajMKaLFYanclPUjfv+eE/9vuODMGEleIVZvm475WDJwi9evIhery/XAwMQHBzMkSNHKnxN06ZNmTt3Lq1btyY7O5v33nuPbt26cejQISIiIkhJSTGV8c8yy577p+LiYoqLi03f5+TkAKDT6dDpdDf9/ipSVp65y62KbtG+uDpqOJ9VyO7TGbSO8L7pspTIrjgAxsRNlJaU1Nou0JrQbqLqpN3sU21otwVbTwEQGxNIoLuDRd+LkrgZ7c+PoOSnY3RyRz/oA4wt7gIjYMWfYU1ot6rUbdEE52Z07dqVrl27mr7v1q0bzZo14/PPP2fGjBk3VebMmTOZNm3aVY+vWbMGNzfLbIAUFxdnkXIrK8ZLw54MDZ/+Gs+Q+jd/wrjGUMIgxQFtXiqbf5pLnosVx5ltwNbtJm6OtJt9std2KyyF73dpAYXGXGDlymTLVGQ00DTlZ5qmLEfBSLZLJH9FTyLvjAucWWmZOivBlu1WUFBQ6WstmuAEBASg1WpJTU0t93hqaiohISGVKsPR0ZF27dpx4sQJANPrUlNTCQ39+49tamoqbdu2rbCMKVOmMHnyZNP3OTk5REZG0r9/f7y8vKrylm5Ip9MRFxdHv379cHR0NGvZVaHUS2HPsv0cK3Dj9tt7oFSj50XJmgdnttCrvoKhwyAzRllz1JR2E1Uj7Waf7L3dFsSfocRwlMZB7jw1qlu1Pl+vKTcF7a9PoEnZBICh7Vjc+s+kpw1XSdWEdisbgakMiyY4Tk5OdOjQgXXr1jF06FAADAYD69atY9KkSZUqQ6/Xc+DAAQYNUv+wRkdHExISwrp160wJTU5ODtu3b+exxx6rsAxnZ2ecna/eXdLR0dFijWTJsiujX4sw3JwOcS6riAMX8ulQ3/fmC4u+Dc5sQZu0Fe0tj5gvyBrI1u0mbo60m32yx3YzGIws2XEOgHHdonFycjJ/JUdWwi+T1I37HN3gjg/QtBlVYzaus2W7VaVei/+8Jk+ezJdffsmCBQtISEjgscceIz8/nwkTJgAwbtw4pkyZYrp++vTprFmzhlOnTrF7927Gjh3LmTNneOihhwB1hdXTTz/N66+/zi+//MKBAwcYN24cYWFhpiRKgKuT1nR0w/I956tXWNkM/aRt6q6ZQghRR/154iKnLubj6ezAXe3CzVt4ST78+jQsvVdNboJbwcQN0GaUeeupIyw+B2fkyJGkp6czdepUUlJSaNu2LatWrTJNEk5KSkKj+TvPunTpEhMnTiQlJQVfX186dOjA1q1bad68uema559/nvz8fB5++GGysrLo3r07q1atumpDwLpuaLtwftxznl/3J/PKHc1xcrjJfDasvbofTl4KZCXJLplCiDprzp+JAAzvEIG7sxn/hCbvVXclzri8aW23J6HPK+Bgo7OtagGrTDKeNGnSNYekNm7cWO77Dz74gA8++OC65SmKwvTp05k+fbq5QqyVbm0UQKCnM+m5xWw8mkb/FpWb93QVJzcIbQPnd8HZ7ZLgCCHqpIQLOWw6lo5GgQdujTZPoQY9bP0I1r+hnv3nGQpDP4OGvc1Tfh1WU4b0hAVoNQpD2qh7JCzfW81hqsgu6u3Z7dWMSggh7NOXm9Wl4be3CqWevxlW4KYfVY9bWPuamtzE3AGPbZXkxkwkwanlhrVXx4jXJqSRXViNvQvKEpwkSXCEEHVPclYhv+xTl4M/0rNB9QrTl8KfH8DsHnD+L3D2gjs/gZGLwM3PDNEKkASn1mse6kXTYE9KSg38Xp2jG8oSnLRDUFT5ZXpCCFEbfLH5FKUGI10b+Ffv1PC0BJjTT+210Rerhxo/vg3a31drN1K1FUlwajlFURh6eab/j7urMUzlFQo+9cBoUP/HIYQQdcT5rEKWbFdPDX+8d8ObK0RXBBvfgs97QvJucPZW59qM+Q68zbwaSwCS4NQJw9qFo1Fgx+lMTqXn3XxBkbeotzJMJYSoQz5ed5wSvYEu0X50bxRQ9QJOrofPusLGmaAvgSYD4Ylt0Ha09NpYkCQ4dUCItwu9mgYBsOyvszdfUGRn9VYmGgsh6ogTaXl8t0vd2O/fA5pWbdfi3BT4/gH4ehhkngKPELhnPty7VA7JtAJJcOqIUZ0iAfhh1zl0+ps8myqio3qbvEc2/BNC1HpGo5FXfzmI3mAktlkQHaMqOQFYr4Ntn8EnneDgD6BooMtjMGkntBgmvTZWUuMO2xSW0TsmyLQnzrqEVAa2vIlDM4NagNYJirLgUiL4VXMlgRBC1GC/7Etmy4kMnB00TL2jxY1fYDTCsVWw5mXIUM9PJLwDDJ4FYW0tGqu4mvTg1BGOWg13d4gAYOnOmxymcnCCkFbq/fO7zRSZEELUPOcuFfDK8oMAPN6r0Y33vUk5CAuHwDej1OTGPRD+9V94ME6SGxuRBKcOGdlRHabadCyd5KzCmyskrL16m7zHTFEJIUTNUqTT89Q3e8gpKqVNpA+P9brOyqnsc/DLk/B5D0jcBFpn6P4MPLkbOowHjdZqcYvyZIiqDokKcKdrA3/iT2Xw7V9neTq2SdULCWun3koPjhB1RnpuMXO3JLLqYApJmQV4ODvQKcqXsbfU57YmgVWbeFvDlZQaePKbPexOysLTxYGPR7Wr+By/vDT4Yxb8NUddGQXq/JrY18A3ypohi2uQBKeOGdU5kvhTGXz31zme7NMYraaKH0zhl3twLuxTz1CR/50IUavFHU7l39/vI6vg753Qswt1rE1IY21CGrHNgph5V2sCPe3/UMi0nCKe/GYP2xMzcXLQ8OW4jlcPTRVkqmdHbf8cdAXqY/W7Q9+pUK+L9YMW1yQJTh0zoEUI3q6OnM8q5I/j6abl45UW0AQc3UGXDxePQVAzywQqhLC57/46y/M/7MdohGahXjzZpxFtI33IyCvhpz3n+XrbadYmpJHw6RbmjO9ITIiXrUOuMqPRyNnMQn7cc445fySSW1yKh7MD/xvTnlsa+P99Yf5F2D5bTWyKL+/mHt5BPfG7QS9ZGVUDSYJTx7g4armrfTjztpxm6Y6zVU9wNFp1wtyZLeowlSQ4QtRKaw6lmJKbUZ0imT6kpWmoJszHlVYR3ozsFMlji3Zx6mI+98yO55uJt9Ay3NvGkV9fYYmePUmX2J10iT1JWew9m0VGfonp+TaRPrx3d2saB3uqD2SdhfhPYNcCKL08dzG4JfT+DzS9XRKbGkwSnDro3s71mLflNGsTUknLLSLI06VqBYS1UxOc5N3QboxlghRC2MyJtFwmf7sPo1H9vHhzWMsK59k0DfHkx8e78eCCv9h15hJj52znm4m30Cy0ZvXkGI1G4g6nsnTnWTYfS6fUUH4fL0etQrt6vtx3S30GtQpVh+7Tj8GWD2H/MjCUqheGtoUekyHmX6CRNTo1nSQ4dVCTYE/a1/Nhd1IW3+86x+O9GlWtgLJ5ODLRWIhap1Rv4Klv9pJXXEqXaD+mD2lx3UnEPm5OzJ/Qifvm7GDv2SzGzd3B8iduJdzH1YpRX9vB89n8Z/lB9p3NMj0W6u1Ch/q+tKvnS7t6PjQP9cLFUavuY5O4WR2KOvo7cDkRiuqhJjYNekuPjR2RBKeOurdzPXYnZbFs51ke7dkQTVUmG4e2VW9TD4G+FLTyz0iI2mLx9iQOX8jB29WRT0a3x1F7454KTxdHFjzQmZGfx3MkJZcJ83bw/WPd8HJxtELE1/b1tjPM+PUwJXoDbk5a7utan3s6RNIw0L180qYrhN3fwbbZkHbo78ebDoLukyGyk/WDF9UmfWx11ODWoXg6O3Amo4D4UxlVe7FvNDh5gL4YMo5bJkAhhNWl5xbz3pqjgHruUlVWRnm7OjJ3fCeCPJ05lprHY4t2UVJ6k8fCVJPRaOTtVUd4ZflBSvQGYpsFs/HfvZhyezMaBXn8ndzkJMO66TCrubqXTdohcHSDjg/CEzvh3m8kubFjkuDUUW5ODgxppx729s2OpKq9WKNRJ9kBpBwwc2RCCFt5e9URcotKaRnuxb2d61X59WE+rswd3wk3Jy1bTmQw5ccDGK18bp3RaOT13xL4bONJQE3UvhzX4e+5hkYjnN0B3z8IH7aCP96Hwkzwrgf9ZsDkw3DHLAi8iX3CRI0iCU4dVvYBtvpQChl5xVV7cdmRDSn7zRyVEMIWdp3J5PvLp2bPGNKy6ntkXdYy3JtPR7dHq1H4Yfc53l9zzJxh3tC8LaeZ82ciigJvDGvJE70bqT02Jfmwa7664/CcfnDwe3XycP1bYcTX8NQeuPUpcPW1arzCciTBqcNahHnTOsIbnd7Ij7vPV+3FpgRHenCEsHelegOvLFfnnozsGEm7etX7I987Jog3hqq9vJ9sOMHC+NPVDbFS1hxKYcZvhwF46fZmjOlSHy4eh99fhPebwa//p35mObhA27HwyB8wYSU0v1PmEtZC0qJ13KhO9dh/7gDf7EzioR7Rld9y/coEx2iUlQVC2LErJxY/P7CpWcoc1bkeabnFzIo7xqu/HCLAw5lBrULNUnZFDpzL5v+W7sVohLGdw3go4CAseFo9H6qMXwN1fk3b0eDmZ7FYRM0gCU4dd2fbMF7/7TCn0vPZkZhJlyt37ryeoGagaKEgA3JTwMtyH1xCCMu5mPf3xOLnBjTF38N8Ry482acRqTlFLN6exNNL9+LqpKV3VTcXrYTzWYU8sGAnHroMXg/ezl2JcSj7ky8/q0CTgdD5IWjQR/avqUOkpes4D2cH7myjTjZeuvNs5V/o6Koe2wAyTCWEHXvr978nFo++iYnF16MoCtOHtOT2liGU6A08snAXcYdTzVpHbmEJ73+1gKlF7xLv8iTDsxeg5CaDW4C6xPv/9sHopdAoVpKbOkZaW5gmG/924AJZBSU3uPoKMtFYCLt25cTi6dWYWHw9Wo3CR/e2Y3CrUEr0Bh5btItf9l2ofsF6HaV7l5E+61Zm5b3Av7TbcEAPEZ3hri/V1VCxr4Jv/erXJeySJDiC1hHeNAv1oqTUwE97qjDZWCYaC2G3/jmxuH01JxZfj6NWw39HtWVI2zBKDUae/f4AK5M0GAw3sYS8IBP+mIXxw9Y4LH+YBrpjFBsdyWwyEh7ZDA/FQesR4GD/p5uL6pEER6AoCvd2jgRg6Y6zld+3QhIcIexW2cRiLxcHs00svh4HrYZZI9rySM8GAKw+r+GxJXsrv0XFpTPw27PwQQtYNw0lN5l0ozezSu9m+9A/8Bv9BYS2seA7EPZGEhwBwJC24bg4ajiamsueK85sua6yBCfzFBTnWiw2IYR5peUU8d7qv3csNufE4uvRahSmDGrGW8NaoFWMrD+azoAP/2Dt9eblpB+Dnx6Fj9rBzq9AV8AFl0Y8W/IotxZ/RNidr9KzXTOrxC/siyQ4AlC3WR/c6vLOxtsrubOxewB4hgJGSD1sueCEEGY1fcVhcotLaRPhzegu1p+jMrx9OJNb6Wkc5M7FvGIeWvgX98/dwZGUnL8vurAfvr0fPu0M+74Bo57Cercxw/8tumZN4wdDT6bd1Z5RZp4YLWoPWSYuTO7tHMkPu8+xYv8Fpv6rOZ6VOSgvqDnkXoD0BKjXxfJBCiGqZdOxdFbsv4BGgTeGtbLIxOLKiHCHnx69hY83JTL3z0Q2HUtn07F0RtTP5SmWEZG63nRtdr3+fOs2gvcPeVCkM+DupGXWyLYMaBFik9iFfZAER5h0qO9Lw0B3Tqbn8/vBFEZ0jLzxi4Kawcl1kJZg+QCFENWSW6TjPz+pc+bGd4umZbi3TeNxdtQy5fZm3NupHnNWbKLNyc8YlvIHWsWI3qiwwtCV/5XeydFjZb00BrpE+/HmXa1oGOhh09hFzScJjjBRFIW72kfw7uqj/LDrXOUTHIA0GaISoqZ77ZfDnLtUSISvK5P715DDJPMvErXzXWacnQtadZuKrU7dmJZ3F0cN6rC5t6sjtzTwY1TnevRqElj5HddFnSYJjihnWLtw3ltzlO2JmZzNLCDSz+36LzAlOEcsH5wQ4qatPHCBH3afQ6PArBFt8XC27ce/YixFs2M2bH4XirPVB6N7Qt/X6BbRgZUGI5n5JThpNXi6OKCx0VCasF8yyViUE+bjSreG6nENyyuzJ05gjHqbnwb5Fy0YmRDiZh1PzeX579UNOR+9rSGdo217DpNyagO9j7yMNu5lNbkJaQX3LYf7f4WIDoC64irQ0xlvN0dJbsRNkQRHXOWudhEA/Ljn/I33xHFyB98o9b7MwxGixsku0DFx4V/kFZfSJdqPZ/rZcGgq6yx8MxqHb+7BsygZo5s/3PEhPLwJGva2XVyiVpIER1xlYMsQ3Jy0JF7MZ3dS1o1fENRcvZUER4gaJaughPvmbud0RgHhPq78b0x7HLU2+Ng36GHbbPi0Cxz9DaOi5WRgf0of3Q4dJ4BGa/2YRK1nlX/pn376KVFRUbi4uNClSxd27NhxzWu//PJLevToga+vL76+vsTGxl51/fjx41EUpdzXwIEDLf026gx3ZwcGtlSXX/64+9yNXyATjYWocTLzSxj95Xb2n8vG182ROeM7Wm1Dv3JSD8Gc/rDqBdDlQ+QtlE7czMGIseDqY/14RJ1h8QRn2bJlTJ48mVdffZXdu3fTpk0bBgwYQFpaWoXXb9y4kXvvvZcNGzYQHx9PZGQk/fv35/z58vNBBg4cyIULF0xf33zzjaXfSp0yvL06TPXrvmSKdPrrXyw9OELUKOm5xYz6Ip7DF3II8HBi6cNdiQnxsm4Qeh2sfwM+7wnn/wJnLxg8Cyb8DoGWPxpCCIsnOLNmzWLixIlMmDCB5s2bM3v2bNzc3Jg7d26F1y9evJjHH3+ctm3bEhMTw1dffYXBYGDdunXlrnN2diYkJMT05etruYPi6qKuDfwJ83Yhp6iU9UcqTkZNTD04CVDZc6yEEBaRkl3EyC/iOZaaR7CXM0sf7krTEE/rBpF+FL6Khc3vgKEUYu6AJ7ZDpwdBIzMjhHVYdJ1gSUkJu3btYsqUKabHNBoNsbGxxMfHV6qMgoICdDodfn7lZ/1v3LiRoKAgfH196dOnD6+//jr+/v4VllFcXExx8d8HuuXkqNuB63Q6dDpdVd/WdZWVZ+5ybeHONqHM3pzI93+dpV9MwLUv9I7CQeOAUpyNLjMJvMKsF6SZ1KZ2q0uk3cpLzirkvnl/kZRZSJi3Cwsf6Eh9X2fr/XyMBjR/zUGzfhpKaRFGV1/0A9/F2Hyo+vw/2kvazb7UhHarSt2KsdJHR1ddcnIy4eHhbN26la5du5oef/7559m0aRPbt2+/YRmPP/44q1ev5tChQ7i4uACwdOlS3NzciI6O5uTJk7z00kt4eHgQHx+PVnv1ZLXXXnuNadOmXfX4kiVLcHO7wT4vdVhqIby51wGNYmR6Bz2e1zm5oXfCFLyKzhPf8DnSvFpbL0ghBAAZRfDJYS2ZxQr+zkYmtdDjZ8UpN866LNqf+YKg3IMApHm2ZE/9iRQ5Su+6MJ+CggJGjx5NdnY2Xl7XH3at0Rv9vfXWWyxdupSNGzeakhuAUaNGme63atWK1q1b07BhQzZu3Ejfvn2vKmfKlClMnjzZ9H1OTo5pbs+NfkBVpdPpiIuLo1+/fjg6VuIspxpuxcVt7D+XQ2FQC0Z2vfahfNqiHyDhPJ2jPDDcMsiKEZpHbWu3ukLaTXU+q5Cxc3aSWVxElL8bCyd0JNTb5cYvNBPl9Ga0y59FyU/H6OCCoc9r+HZ8kD7X2HFY2s0+1YR2KxuBqQyLJjgBAQFotVpSU1PLPZ6amkpIyPUPSXvvvfd46623WLt2La1bX79HoEGDBgQEBHDixIkKExxnZ2ecna/+r4yjo6PFGsmSZVvT8PaR7D93iBX7U5jYs9G1LwxpCQk/o714DK0dv+/a0m51TV1ut8z8Eu6fv4tzWUVEB7iz9OFbCPayUnJj0MPm92DjTMAIQS1Q7pmHNrAplVn4XZfbzZ7Zst2qUq9FZ3s5OTnRoUOHchOEyyYMXzlk9U/vvPMOM2bMYNWqVXTs2PGG9Zw7d46MjAxCQ0PNErf42+DWoWg1CvvOZZN4Mf/aF5btaJwuK6mEsJaSUgOPLtrFmYwCIv1cWTKxi/WSm7x0WDQcNr4JGKHdffDQWlkhJWoMi09nnzx5Ml9++SULFiwgISGBxx57jPz8fCZMmADAuHHjyk1Cfvvtt3nllVeYO3cuUVFRpKSkkJKSQl5eHgB5eXn8+9//Ztu2bZw+fZp169YxZMgQGjVqxIABAyz9duqcAA9nejRWJxhf9+iGsg+1i8dlJZUQVvL2qiPsSMzEw9mBufd3ItTb1ToVn9+lLv8+tQEcXGHoZzDkE3CSOY2i5rB4gjNy5Ejee+89pk6dStu2bdm7dy+rVq0iODgYgKSkJC5cuGC6/rPPPqOkpIS7776b0NBQ09d7770HgFarZf/+/dx55500adKEBx98kA4dOvDHH39UOAwlqm9o23AAlu+9ztENfg1A4wAleZBTiTOshBDVsvXkReb8mQjAByPb0jjYSkvB938Lc2+H3GQIaAIT10Pb0dapW4gqsMok40mTJjFp0qQKn9u4cWO570+fPn3dslxdXVm9erWZIhOV0a95MK6OWs5kFLD3bBbt6lWwKkLrqCY5F4+pe2B4R1g/UCHqiCKd3nR45r2d69GvebDlKzXoYd002PJf9fsmA+GuL8HFyhsIClFJsuOSuCF3Zwf6t1A/QH/em3ztCwMuH+J38bgVohKi7vrqj1Ocu6TudfOfwc0sX2FRNnwz6u/kpvtkGLVEkhtRo0mCIyqlbJhqxf5kSvWGii8yzcM5aqWohKh70nKK+N/GkwC8cHsMHs4W7ojPSlLPkjq+BhxcYPgciH1VDsgUNZ4kOKJSujcOwM/diYt5Jfx54mLFF5X14KQfs15gQtQxn206SUGJnraRPtzZxsK7hl/Ypx65kH4EPEPhgVXQ6m7L1imEmUiCIyrFUavhjtbqMvxrDlOZhqikB0cIS8jML2HpjrMAPNu/Cco1NtIzixNrYd4gyEtVD9R9aB2EtbNcfUKYmSQ4otKGXB6mWn0ohYKS0qsvKEtw8tOhINOKkQlRN8zfeppCnZ5W4d50b3Sd8+Gqa/fXsHiEuioyuqfac+Mdbrn6hLAASXBEpbWv50M9PzcKSvTEHU69+gJnD/C6vHpKJhoLYVbFpXoWbTsDwGO9Glqm98ZohE3vwC+TwKiH1iNhzA/g4m3+uoSwMElwRKUpisKQtuqY/7WHqRqrtzJMJYRZrTmUSmZ+CSFeLvS3xLJwoxFWvwQb3lC/7/EcDPscHJzMX5cQViAJjqiSsmGqzcfSycwvufqCspVU6ZLgCGFOS3cmATCiYwQOWjN/dBv0aq/Ntv+p39/+DvR9BSw5x0cIC5MER1RJoyAPWoV7U2ow8tv+CnpxTBONZSWVEOZyJiOfLScyUBQY0SnSvIWXlsD3D8CeRaBo1GMXujxi3jqEsAFJcESVlQ1TLa9omEp6cIQwu+V71N+17o0CiPA143lPJQWwdDQcXg4aR7hngRy7IGoNSXBEld3ZJgyNArvOXOJsZkH5JwMuJzhZSaArtH5wQtRCvx1QE5yyIWKzKM6DxXfDiTj1wMzRy6D5neYrXwgbkwRHVFmQlwvdGqpLVH/e+4+DNd0DwMUHMELGCavHJkRtcyw1l2OpeThqFfOdOVWcB4vvgTNbwNkL7vsJGvU1T9lC1BCS4IibcuUwVbkTxhVFhqmEMKPf9l8AoGfjQLxdHatfYFlyk7T1cnKzHOp3rX65QtQwkuCImzKwZQjODhpOpOVxKDmn/JMy0VgIs/ntgJrg3NEmtPqFVZTcRHSofrlC1ECS4Iib4uniSGwztbv8133/mGxsOnRTEhwhquP0xXxOpOXhoFHo26yaw1OS3Ig6RhIccdPKzqZaefBC+WEqOXRTCLPYcDQNgE5Rfni5VGN4SpIbUQdJgiNuWq+mQbg6ajmbWcjB81cMU5UlOBkn1A3EhBA3ZcPRdAB6xwTefCG6Ilh6ryQ3os6RBEfcNFcnLX1iggC1F8fEpx5onUFfDNlnbRSdEPatoKSUbacyAEy/Z1Wm18F34yFxMzh5qKulJLkRdYQkOKJabm8VAsDKA1cMU2m04NdAvX9RlooLcTO2nsigpNRAhK8rDQM9ql6AQQ8/PQLHfgcHF3Wfm4iO5g9UiBpKEhxRLb2bBuHiqOFMRkH51VT+DdXbDDlVXIibUTb/pnfToKqfHG40woqn4eAP6g7FIxdBVHfzBylEDSYJjqgWd2cHejVRu89/v3KYynSquCQ4QtyMP45fBKBX0yrOvzEaYfV/YPdC9Wyp4V9C434WiFCImk0SHFFtg8pWUx1I+XuYyv9ygiM9OEJU2fmsQpIyC9BqFLo08K/aize9Dds+Ve/f+TG0GGb+AIWwA5LgiGrrExOEk4OGxIv5JFzIVR809eDIHBwhqir+pDq5uFW4Nx7ODpV/4bbPYONM9f7At6HdWAtEJ4R9kARHVJuHswO3NVG70dccTlEf9G+k3uYmq3twCCEqbetJdXiqa8Mq9N4c+B5Wvaje7/0y3PKoBSITwn5IgiPMot/lXVbXJagTI3HzA7fLH85y6KYQlWY0Gtl2uQena2WHp05tgp8uJzSdH4aez1koOiHshyQ4wix6xwShKHDgfDapOUXqg6Z5OJLgCFFZSZkFJGcX4ahV6Bjle+MXXNgPS8eAQQfNh8LAt9RDb4Wo4yTBEWYR6OlMmwgfANYfudyLE3B5mEoSHCEqrWz+TdtIH9ycbjD/5tJpWHw3lORCVA8Y9rm6D5UQQhIcYT6xzdTl4usSUtUH/GWpuBBVFX+qksNT+Rfh67sgLxWCW8KoxeDoYoUIhbAPkuAIsyk77fjPExcp0un/XkklS8WFqBSj0WjqwbnlehOMyw7PzDwJ3pEw5ntw8bZSlELYB0lwhNnEhHgS7uNKkc7AlhMXr5iDc1LdfEwIcV3nLhWSlluMg0ahfb1rzL/Rl6rnSyXvBlc/GPsjeIVaNU4h7IEkOMJsFEWh7+VhqrUJaeAbBYoWSvIg98L1XyyEYNeZSwC0CPfGxbGCuTRGI6x8Dk7EgYMrjP4WAptYOUoh7IMkOMKsyk493nwsHaPWEXzrq0/IPBwhbqgswelwrd6brR/DrnmAAnfPgchO1gtOCDsjCY4wqy7R/jhpNZzPKuTUxXw5skGIKjAlOPUrSHAO/wxxr6j3B7wJMYOtGJkQ9kcSHGFWrk5aOkWrH85/Hr8oRzYIUUl5xaUcSckBuHr/m3N/wY8Pq/c7TYRbHrNydELYH0lwhNl1b6Qe2/DH8fS/j2yQHhwhrmtvUhYGI4T7uBLsdcVy70un4ZtRUFoEjQfIRn5CVJJVEpxPP/2UqKgoXFxc6NKlCzt27Lju9d999x0xMTG4uLjQqlUrVq5cWe55o9HI1KlTCQ0NxdXVldjYWI4flz+gNUWPxgGAumFZqd/lBEfm4AhxXRUOTxVmweIRkJ8OIa3g7rmgrcLhm0LUYRZPcJYtW8bkyZN59dVX2b17N23atGHAgAGkpaVVeP3WrVu59957efDBB9mzZw9Dhw5l6NChHDx40HTNO++8w0cffcTs2bPZvn077u7uDBgwgKKiIku/HVEJzUO98Hd3Ir9Ez4EiddIxWUmgk/YR4lp2Jf0jwSktgW/vg4tHwTNMXTHl7GHDCIWwLxZPcGbNmsXEiROZMGECzZs3Z/bs2bi5uTF37twKr//vf//LwIED+fe//02zZs2YMWMG7du355NPPgHU3psPP/yQl19+mSFDhtC6dWsWLlxIcnIyy5cvt/TbEZWg0Sjc2kjtxVl/1gjOXoARMk/ZNjAhaiiDwcieK3twjEb47RlI3AyO7jB6GXiF2ThKIeyLRfs6S0pK2LVrF1OmTDE9ptFoiI2NJT4+vsLXxMfHM3ny5HKPDRgwwJS8JCYmkpKSQmxsrOl5b29vunTpQnx8PKNGjbqqzOLiYoqLi03f5+SoE/l0Oh06ne6m319Fysozd7n2plsDX37Zl8zm4xd5xq8hmgt7KE07gtGvsa1Dq5C0m32qLe12NCWX3OJS3Jy0NPR3Qb/5fbR7FmFUNOjv+gpjQDOw8/d4pdrSbnVNTWi3qtRt0QTn4sWL6PV6goODyz0eHBzMkSNHKnxNSkpKhdenpKSYni977FrX/NPMmTOZNm3aVY+vWbMGNze3yr2ZKoqLi7NIufZCzScd2H8uizMhrkQDx7b+xvFTNfsgwLrebvbK3tttS6oCaAl30bF/2Rt0TvwIgAPhY0k8poNjK69fgJ2y93arq2zZbgUFBZW+tk7MVpsyZUq5XqGcnBwiIyPp378/Xl5eZq1Lp9MRFxdHv379cHR0NGvZ9mbemT85nVFAaXhHyNpKTICWxoMG2TqsCkm72afa0m4bfzgAXGB0UyOdj3yFghF9hwdoNvAdmtk6OAuoLe1W19SEdisbgakMiyY4AQEBaLVaUlNTyz2emppKSEhIha8JCQm57vVlt6mpqYSGhpa7pm3bthWW6ezsjLOz81WPOzo6WqyRLFm2veja0J/TGQUcKA6mMaDJPImmhv9MpN3sk723256z2fiRw72nZqDo8iG6J9pB76DV2u97qgx7b7e6ypbtVpV6LTrJ2MnJiQ4dOrBu3TrTYwaDgXXr1tG1a9cKX9O1a9dy14PaHVZ2fXR0NCEhIeWuycnJYfv27dcsU9hGl2j1NOSNFy+fcpxxXA7dFOIf0nOLOZ+Rw2ynD3DJPw++0XDPAqjlyY0QlmbxIarJkydz//3307FjRzp37syHH35Ifn4+EyZMAGDcuHGEh4czc+ZMAP7v//6P2267jffff5/BgwezdOlS/vrrL7744gtAPdDx6aef5vXXX6dx48ZER0fzyiuvEBYWxtChQy39dkQVdGngB8DaVHdwBoqyoSAD3ANsG5gQNcjuM5m87jCXzpqj6orD0cvAzc/WYQlh9yye4IwcOZL09HSmTp1KSkoKbdu2ZdWqVaZJwklJSWg0f3ckdevWjSVLlvDyyy/z0ksv0bhxY5YvX07Lli1N1zz//PPk5+fz8MMPk5WVRffu3Vm1ahUuLi5X1S9sJ9Tblfr+bpzJgCK3MFwKktUN/yTBEcJEu2M2Ix02YkCD5u65ENjU1iEJUStYZZLxpEmTmDRpUoXPbdy48arH7rnnHu65555rlqcoCtOnT2f69OnmClFYSJdoP85kFHDBIYJoktVhqvoylCgEAMfX0jtJXTG1v/lztG3cz8YBCVF7yFlUwqJuaaDOwzlUcnlZvxzZIIQq/RjG78ejxcCy0l549nrK1hEJUatIgiMsqsvlBOevPPWWDDlVXAgKMuGbkSjFuewwNOU9x4dpECjHMAhhTpLgCIsK93El0s+VE4bLS/qlB0fUdXodfDceMk+R6xLKYyVP06p+EIqcEC6EWUmCIyyuS7Q/p8oSnEuJ6ge8EHXVmpchcRM4uvNR8Awy8KZ9PR9bRyVErSMJjrC4TlG+XMCPYpzBUAqXztg6JCFsY98y2D5bvX/XF/yWoi4Hb1/P14ZBCVE7SYIjLK5jlB9GNJwyXt69OkOGqUQddGEf/Hp5InHP57kQ1pfk7CI0CrSJ9LFpaELURpLgCItrEOCOn7sTJ2UejqirCjJh2VgoLYLG/aHXFHafyQIgJsQLd+c6cSygEFYlCY6wOEVRaF/Pl5PGywmO9OCIusSgh+8fgKwk9RiGu74AjYbdSZcAaF/fx7bxCVFLSYIjrKJTlO/fE40vylJxUYesmw6nNoCjG4xaAq7qfJtdZ9QEp0N9mX8jhCVIgiOsomOUL6eMYQAYLx6zcTRCWMmh5bDlQ/X+kE8huDkARTo9h5KzAZlgLISlSIIjrKJluDfntOEAKAUX1TkJQtRmaQmw/HH1frcnoeVdpqcOJWej0xvxd3einp+bjQIUonaTBEdYhbODlobhIVwwXj4lWXY0FrVZYRYsHQO6fIi+Dfq+Vu7psgnG7ev7ygZ/QliIJDjCajpG+XHCoA5TIcNUorYyGOCnRyDzJHhHwt3zQFt+lVTZ/BsZnhLCciTBEVbTsb4vJy/PwyH9qG2DEcJSNr8Dx1aB1hlGfg3u/uWeNhqNf6+gkh2MhbAYSXCE1XS4IsEpSZUER9RCR1fBxpnq/X99CGHtrrokKbOAtNxiHLUKrSN8rBqeEHWJJDjCanzdnSjybgiAThIcUdtknIQfH1bvd3oI2o6u8LLtieoE+9YRPrg6aa0VnRB1jiQ4wqp867UAwDXvLJQW2zgaIcykOA+WjobibIi8BQbMvOalOy4nOJ2j/awVnRB1kiQ4wqoaN2xMrtEVDXrITLR1OEJUn9EIPz8O6UfAIwRGLAAHp2tevvO0JDhCWIMkOMKqOkb7m45sKEk9YuNohDCDLf+Fwz+DxhFGLATPkGtempJdxJmMAjSK7GAshKVJgiOsKsrfjfPaCADST+23cTRCVNPJDbBumnr/9regXpfrXr7jcu9N8zAvvFwcLR2dEHWaJDjCqhRFQefbCIC85AQbRyNENVw6ox6iaTRA27HQ8cEbvmRHYgYAnaP8b3ClEKK6JMERVucerk40drokuxkLO6UrhGVjoTBTXQo++H2oxI7EMsFYCOuRBEdYXb0mbQAIKknCoDfYOBohqshohBXPQMp+cPOHEV+Do8sNX5aZX8Kx1DwAOkXJ/BshLE0SHGF1DZu2otSowZ0iTiYet3U4QlTNji9h3zegaOGe+eATWamXxZ9Uh6eaBHvg7+FswQCFECAJjrABBycX0h3VHY1PJey1bTBCVMWZrbB6inq/33SI7lnpl/55Ih2A7o0CLRGZEOIfJMERNlHo1QCArLMHbRyJEJWUkwzf3g+GUmg5HLo+UaWX/3niIgDdG8sEYyGsQRIcYRPOoc0AUC4ew2g02jgaIW6gtBi+HQf5aRDcEu78uFKTisucycjnbGYhjlqFLtGS4AhhDZLgCJsIim4FQJjuLEmZBTaORogb+P0FOLcTXLzVE8Kd3Kv08j+Oq7037er54u7sYIkIhRD/IAmOsAnH4BgAGmoumJbOClEj7V4Iu+YBCgyfC34NqlzEn5cTnB6NAswcnBDiWiTBEbYRoG72F6pksu/EORsHI8Q1nNsFvz2r3u/zH2gcW+UiSvUGtp4sm38jCY4Q1iIJjrANV1+KXdQP+/TTMtFY1EB56fDtfaAvgZg7oPuzN1XM7qQscopK8XFzpHWEj3ljFEJckyQ4wma0QU0BcM05RVpukY2jEeIKeh18Nx5yzoN/Yxj6GWhu7uNybUIqAH2aBqHVVH5ishCieiTBETbjcDnBaaQ5z87ESzaORogrxE2FM3+CkweMWgwuXjdd1NrDaoLTt1mwuaITQlSCJDjCdgKaANBQSWbbqQwbByPEZfu/g23/U+8Pmw2BTW+6qJPpeZy6mI+jVqFnE5l/I4Q1SYIjbCegMQCNlGS2XN4ETQiburAffnlSvd/jWWj2r2oVt+7y8NQtDfzxdHGsbnRCiCqwaIKTmZnJmDFj8PLywsfHhwcffJC8vLzrXv/kk0/StGlTXF1dqVevHk899RTZ2dnlrlMU5aqvpUuXWvKtCEsIVJeKRykpnL2YzfmsQhsHJOq0gkz1hPDSQmjYF3r/p9pFrj50eXgqJqjaZQkhqsaiCc6YMWM4dOgQcXFxrFixgs2bN/Pwww9f8/rk5GSSk5N57733OHjwIPPnz2fVqlU8+OCDV107b948Lly4YPoaOnSoBd+JsAivcHD2wlHRE6Wk8OfxdFtHJOoqgx5+eAiyzoBvFAz/CjTaahV57lIBu85cQlFgYMtQ88QphKg0i22pmZCQwKpVq9i5cycdO3YE4OOPP2bQoEG89957hIWFXfWali1b8sMPP5i+b9iwIW+88QZjx46ltLQUB4e/w/Xx8SEkJMRS4QtrUBS1F+fcDpoqZ/nzRAYjO9WzdVSiLtrwBpxcBw6uMHIRuPlVu8gV+y8A0DnKjxBvl2qXJ4SoGoslOPHx8fj4+JiSG4DY2Fg0Gg3bt29n2LBhlSonOzsbLy+vcskNwBNPPMFDDz1EgwYNePTRR5kwYQLKNc6GKS4upri42PR9Tk4OADqdDp1OV9W3dl1l5Zm73NpKG9AEzbkdNNacY/7xdIqLS9DYYCmttJt9Mke7KUd+w+GP9wEoveNDjP4xYIZ/B7/sPQ/A4FbB8u/qH+T3zT7VhHarSt0WS3BSUlIICio/7uzg4ICfnx8pKSmVKuPixYvMmDHjqmGt6dOn06dPH9zc3FizZg2PP/44eXl5PPXUUxWWM3PmTKZNm3bV42vWrMHNza2S76hq4uLiLFJubdMg3UAroJnmLJcKdHz1w+9EVO2YH7OSdrNPN9tuHkXnue2o+tlwInAAh864wpmV1Y4ntRAOX3BAoxjRJh9g5coD1S6zNpLfN/tky3YrKKj82YVVTnBefPFF3n777etek5CQUNVir5KTk8PgwYNp3rw5r732WrnnXnnlFdP9du3akZ+fz7vvvnvNBGfKlClMnjy5XNmRkZH0798fL6+b39+iIjqdjri4OPr164ejo6yauBEl0R2WLKGVUwqUgDG4GYN6Rls9Dmk3+1StdivOxWFePxRDEYb6t1J/9ALqa8zzf75ZcceBRHo0CmTEkPZmKbM2kd83+1QT2q1sBKYyqvzb/OyzzzJ+/PjrXtOgQQNCQkJIS0sr93hpaSmZmZk3nDuTm5vLwIED8fT05KeffrrhD7JLly7MmDGD4uJinJ2dr3re2dm5wscdHR0t1kiWLLtWCW0JQHBpMs6UsPHYRSb1bWKzcKTd7FOV281ggF8nQcYJ8ApHc88CNM6uZolFpzfww55kAEZ2rif/nq5Dft/sky3brSr1VjnBCQwMJDAw8IbXde3alaysLHbt2kWHDh0AWL9+PQaDgS5dulzzdTk5OQwYMABnZ2d++eUXXFxuPDlv7969+Pr6VpjEiBrOIxhcfNAUZdFQSWZXkhMX84oJ8JC2FBb0x/tw9DfQOsPIr8Hjxp9plbX+SBppucUEeDgRK7sXC2EzFlsm3qxZMwYOHMjEiRPZsWMHW7ZsYdKkSYwaNcq0gur8+fPExMSwY8cOQE1u+vfvT35+PnPmzCEnJ4eUlBRSUlLQ6/UA/Prrr3z11VccPHiQEydO8Nlnn/Hmm2/y5JNPWuqtCEtSFAhqDkAf/wyMRlifkHaDFwlRDcfj1FVTAIPfh/AOZi1+6Y4kAIZ3iMDJQfZSFcJWLDbJGGDx4sVMmjSJvn37otFoGD58OB999JHpeZ1Ox9GjR02Thnbv3s327dsBaNSoUbmyEhMTiYqKwtHRkU8//ZRnnnkGo9FIo0aNmDVrFhMnTrTkWxGWFBQDSVu5zSeTTy7CmsOpjOgUaeuoRG2UcRJ+eBAwQscHoP19Zi3+bGYBm46p+zmNki0PhLApiyY4fn5+LFmy5JrPR0VFYTQaTd/36tWr3PcVGThwIAMHDjRbjKIGCGwGQIzmLAB/nkinsESPq1P1NloTopySfFh2HxRlQ0RnGHj9xRI3Y86fiRiM0KNxANEBNlwOKISQs6hEDRCkJjgeuSeI8HWlSGdg3ZFUGwclahWjEX6eBGmH1HlfIxaCg5NZq8gqKGHZTjVJf6RnQ7OWLYSoOklwhO1dTnCUS6cZ3tIXgOV7ztsyIlHbxH8Ch34EjQPcswC8zH90wuLtSRTq9DQL9eLWRv5mL18IUTWS4Ajbcw8Ad3UVy9318wHYeDSdjLzi671KiMo5tQnipqr3B74F9buavYoinZ55W04D8HDP6Gvuqi6EsB5JcETNcPlk8cjSJFqFe1NqMJrO8hHipmWdhe8ngNEAbUZDp4csUs2ibWe4mFdMuI8rd7S++pw9IYT1SYIjaobLw1SkHWZYu3AAlu48e8NJ50Jck64Qlo2FggwIbQN3zFK3JTCz/OJS/rfxJABP9W2Eo1Y+VoWoCeQ3UdQMpgQngbvah+PiqCHhQg47EjNtG5ewT0YjrHgGLuwFN3/1hHBH8+xU/E/zt54mM7+EKH837mofYZE6hBBVJwmOqBkub/ZH6mF83JwY1k79Q1E2r0GIKtnxJez7BhQN3D0PfCyzJ012oY7PN6m9N0/HNpHeGyFqEPltFDVDcAv1NjcZ8jOYcGsUAGsOp3AyPc92cQn7c3oLrJ6i3u83AxrcZrGq5vyZSE5RKY2DPPhXG5l7I0RNIgmOqBmcPcH38iniqQdoEuxJbLMgDEaYFXfMtrEJ+5F9Hr67Hwyl0PJu6PqExaq6mFfMnD9OAWrvjVYjK6eEqEkkwRE1R4h6sjgpBwF4tn9TFAV+23+B/eeybBeXsA+lxfDtfZCfDsGt4M6PLTKpuMwn60+QX6KnVbg3t7cMsVg9QoibIwmOqDlCWqu3KQcAaBbqxdC26oqqKT8eoFRvsFVkoqYzGuG3Z+H8LnD1hVGLwMnNYtWdzSxg8fYzALwwMAaN9N4IUeNIgiNqjuDLPTipB00PTRkUg7erI4eSc/js8lJcIf5Js2cB7PlanVQ8fA74Rlm0vllxx9DpjXRvFED3xgEWrUsIcXMkwRE1R0gr9Tb9iDrcAAR5uvDqv9QVVrPWHmPDkTRbRSdqKN+842jKJhX3nQqN+lq0voQLOSzfqx4l8sLAGIvWJYS4eZLgiJrDOwJcvNUJoulHTQ8PaxfOvZ3rYTTCE0t2E38yw4ZBiholN4XOiR+hGHTQfAjc+rTFq3xn1RGMRhjcOpRWEd4Wr08IcXMkwRE1h6Kok0PBNA9HfVhh2p0t6NE4gIISPePn7eC7v87aKEhRY5SWoP3xAVxKszEGxsCQ/1l0UjHA9lMZbDiajoNG4bn+TS1alxCieiTBETVL2TDVFfNwAJwcNHw5riOxzYIpLjXw7+/38/jiXSRnFdogSFEjrHoRzbkdlGjdKL17ITh7WLQ6o9HI26uOADCyUyTRAe4WrU8IUT2S4IiaxbRU/MBVT7k4avnivg48178JGgVWHkih7/ubmPl7gpw8XtfsXgh/zcGIwq76j4FfA4tXufn4RXYnZeHiqOH/+ja2eH1CiOqRBEfULCFXDFFVcNCmRqMwqU9jVjzZg05RvhTq9Hy+6RTd397AG78dJj1XEp1a79wudUk4YLjtRdK821i8SqPRyMfrjgMwunN9grxcLF6nEKJ6JMERNUtgDGgcoCgLcs5f87LmYV58+0hX5tzfkdYR3hTq9Hz5RyI939nA26uOkFVQYr2YhfXkpaknhOtLIOYODLc+Y5Vqt53K5K8zl3DSanjkNsv3Fgkhqk8SHFGzODhDQBP1fgXDVFdSFIW+zYL5+YlbmTehE20uJzqfbTxJj7c38NG64xSW6K0QtLAKvQ6+G6+eVxbQBIZ+pu57YwWfbFB7b0Z0iiBYem+EsAuS4IiaJ/TykMOFfZW6XFEUejcNYvkTt/LluI7EhHiSW1zKrLhjxM7axKqDFzBWMNwl7Mzq/8CZLeDkCaOWgIuXVarddeYSW05k4KBRePS2hlapUwhRfZLgiJonrJ16e353lV6mKAr9mgez8qkefHRvO8J9XDmfVciji3Yzbu4OTqTJqeR2a/dC2PG5ev+uzyHAepN8P1mv9t4Mbx9BhK/ljn8QQpiXJDii5ilLcJL3VDjR+EY0GoU724SxdvJtPNWnEU4OGv44fpFB//2DzzaelDOt7E3SdlgxWb3f+z8QM9hqVR84l82Go+loFHisl/TeCGFPJMERNU9wS1C0kJ8GOck3XYyrk5bJ/ZsS90xPejUNpERv4O1VR7h7drz05tiL7PPqpGKDDprdCT2es2r1ZXNvhrQNJ0r2vRHCrkiCI2oeJzcIUs+fIrlqw1QVqe/vzrzxnXj37tZ4Ojuw92wWd3z8Bz/vvfYqLVED6Aph2Rg10Q1qoU4q1ljvI+tISg6rD6WiKPBEb+m9EcLeSIIjaqawtupt8h6zFKcoCvd0jGTN5J70aBxAkc7A/y3dy4wVhzEYZAJyjWM0wq//p7a/qx/cu8TiOxX/06cb1NPrB7UMpVGQp1XrFkJUnyQ4oma6ch6OGYV6uzJ/Qmcm9W4EwJw/E3nuu30yL6em2fox7F+mDlWOWAC+UVat/mR6Hiv2q8OjT1z+tyKEsC8Otg5AiAr9c6KxGQ9R1GoUnhvQlCYhnjyzbC8/7jmP3mCgt6vZqhDVcXwtrH1VvT/wLYjuafUQ/rfhJEYjxDYLpnmYdZajCyHMS3pwRM0U3AK0TlB4CS6dtkgVd7YJ439j2uOgUfh53wVWnbPsSdSiEi6egO8fAKMB2t0HnSdaPYSkjAKWX56f9WQf6b0Rwl5JgiNqJgdnNckBsw9TXWlAixBeH6oe8LnqnJYNR9MtVpe4gaJsWHovFGdDZBcY/L5Ze+4q67NNJ9EbjPRsEkibSB+r1y+EMA9JcETNZaF5OP80qnM97rulHgAvLT8kJ5PbgkEPP0yEi8fAMwxGfK0muVaWnFXI97vOAtJ7I4S9kwRH1Fxh7dXbKu5ofDNe6N+YEFcjF/NKmL7isMXrE/+w4Q04vhocXGDUYvAMtkkYX2w+hU5v5JYGfnSK8rNJDEII85AER9RcEZ3U2+Td6kGLFuTsqGVsIz2KAj/vTeav05kWrU9c4eAP8Mf76v07P4bw9jYJIy2niCU7kgB4so/1joIQQliGJDii5gpoAi7eoCuA1IMWry7SA+5pHw7AtF8PywGd1nBhHyx/Qr3f7SloPcJmoczedIqSUgMd6/vSraG/zeIQQpiHJDii5tJoIKKzev/sDqtUOTm2Ee5OWg6cz2ZtQppV6qyzclPgm3uhtBAaxULsazYLJS23iMXbzwDwVN/GKDaY3CyEMC+LJjiZmZmMGTMGLy8vfHx8ePDBB8nLu/4ZQL169UJRlHJfjz76aLlrkpKSGDx4MG5ubgQFBfHvf/+b0tJSS74VYSuRXdTbs9utUp2/hzPjukUB8PH649KLYym6Qlg6GnLOg39jGD4HNFqbhfPl5lMUlxpoV8+HHo0DbBaHEMJ8LJrgjBkzhkOHDhEXF8eKFSvYvHkzDz/88A1fN3HiRC5cuGD6euedd0zP6fV6Bg8eTElJCVu3bmXBggXMnz+fqVOnWvKtCFuJtG4PDsCD3aNxcdSw/1w2f564aLV66wyjEX5+As7vAhcfGL0MXH1sFs7FvGIWbVPn3kjvjRC1h8USnISEBFatWsVXX31Fly5d6N69Ox9//DFLly4lOfn6J0S7ubkREhJi+vLy+nsn0TVr1nD48GEWLVpE27Ztuf3225kxYwaffvopJSUllno7wlbCO4Cigeyz6snSVhDg4cyoTuqy8QVbz1ilzjpl87vqxGKNA4z8Gvxte5Dll3+colCnp02EN72aBNo0FiGE+VgswYmPj8fHx4eOHTuaHouNjUWj0bB9+/WHGxYvXkxAQAAtW7ZkypQpFBQUlCu3VatWBAf/vYx0wIAB5OTkcOjQIfO/EWFbzh4QrG7Exznr9eKMvaU+AOuPpHLuUsENrhaVdugndUk4qBv52eAYhitl5pfwdbzMvRGiNrLYWVQpKSkEBQWVr8zBAT8/P1JSUq75utGjR1O/fn3CwsLYv38/L7zwAkePHuXHH380lXtlcgOYvr9WucXFxRQX/715W05ODgA6nQ6dzrzLj8vKM3e5dZkmvBPalP3oz8RjaHKHRer4Z7vV93WmWwM/tp7KZFH8aZ7tJ8uGq0tJ3oP2p8dQAH3nRzC0HgPV/D2p7u/bF5tOUFCip0WYJz0a+srvrZXI56R9qgntVpW6q5zgvPjii7z99tvXvSYhIaGqxZpcOUenVatWhIaG0rdvX06ePEnDhjfXlT1z5kymTZt21eNr1qzBzc3tpmO9nri4OIuUWxeFZzrSEcg5GMdm3a0WrevKdotxUNiKlsXxp2hSchyt/Of+prmUZNLz2DQcSgtJ8WrD9pKusHKl2cq/md+3fB3M260FFLp6ZvH777+bLR5ROfI5aZ9s2W5XjujcSJUTnGeffZbx48df95oGDRoQEhJCWlr5ZbalpaVkZmYSEhJS6fq6dFFX0Zw4cYKGDRsSEhLCjh3lhypSU1MBrlnulClTmDx5sun7nJwcIiMj6d+/f7n5Peag0+mIi4ujX79+ODo6mrXsOiurJXw6G5+iJAbF3gZO7mavoqJ2iy018NO7m7hUoMOnaWd6NJLVNTdFV4B24b/Q6C5hDGiK//jlDHL2NE/R1fh9+2DtCYoNp4gJ8eT5MbfI8JQVyeekfaoJ7VY2AlMZVU5wAgMDCQy88US8rl27kpWVxa5du+jQoQMA69evx2AwmJKWyti7dy8AoaGhpnLfeOMN0tLSTENgcXFxeHl50bx58wrLcHZ2xtn56nNtHB0dLdZIliy7zgloAF4RKDnncLywCxr1tVhVV7aboyPc0TqMr7edYcX+VPo0C7VYvbWWwQA/PQkp+8DNH2X0Mhw9zH8EQlV/37IKSvj68sqpp2Mb4+TkZPaYxI3J56R9smW7VaVei00ybtasGQMHDmTixIns2LGDLVu2MGnSJEaNGkVYWBgA58+fJyYmxtQjc/LkSWbMmMGuXbs4ffo0v/zyC+PGjaNnz560bt0agP79+9O8eXPuu+8+9u3bx+rVq3n55Zd54oknKkxiRC2gKBDdQ71/+k+rVj20nbqz8apDKRSUyF5LVbbpLTj8M2gcYeQi8Iu2dUQAzP0zkdziUmJCPOnfvPI9ykII+2HRfXAWL15MTEwMffv2ZdCgQXTv3p0vvvjC9LxOp+Po0aOmMTUnJyfWrl1L//79iYmJ4dlnn2X48OH8+uuvptdotVpWrFiBVqula9eujB07lnHjxjF9+nRLvhVha1FlCc4fVq22fT0f6vm5UVCiJ+5wqlXrtnsHvodNl+fr/eu/UL+bbeO5LLtAx7wtpwH4v76N0WhkaEqI2shiq6gA/Pz8WLJkyTWfj4qKKrdTbGRkJJs2bbphufXr12elGScoCjtQ1oNzfjcU54KZ5nDciKIo3NkmjE82nGDVwRSGtA23Sr1270w8LH9Mvd/tSWg3xrbxXGHOFrX3pmmwJwNaSO+NELWVnEUl7INPPfCpD0Y9JG2zatVlfwQ3Hk2nSKe3at12KeMkLL0X9CUQcwfEXr2C0VayC3XM25IIwP/FSu+NELWZJDjCfkTbZpiqZbgXYd4uFOr0/HFcjm64rvwMWHw3FF6CsPZw15c2PWPqn+ZtSSS3SO29GSi9N0LUapLgCPtRNg8n0boJjqIo9L/8x3D1oWtvUlnn6YrUAzQzT4F3PfWMKSfL7DN1M3KLdMz5U+29eUrm3ghR60mCI+xHWYJzYS8UZVu16v4t1N2y1yWkUqo3WLVuu2AwwM+Pw9lt4OwNY74Dj6Abv86Klu08S25RKQ0D3bm9pfTeCFHbSYIj7Id3OPg3AqMBEjdbterOUX74ujlyqUDHjtOZVq3bLqyfUf4AzaAYW0dUjk5vYO7l3puJPRpI740QdYAkOMK+NIpVb0+stWq1DloNvWPUHomNR9OtWneNt2sB/DlLvX/nx9DgNtvGU4EV+5NJzi4iwMPZtLeREKJ2kwRH2JeyBOf4WrhiiwFr6NW0LMFJu8GVdcjJ9bDiGfV+z+eh7WjbxlMBo9HIF5vV3psJt0bh4lhzJj0LISxHEhxhX6K6g4ML5JyD9KNWrbpn4wA0ChxLzeN8VqFV666RUg/Dt/erS/dbjYDeL9k6ogrFn8wg4UIObk5axnSpZ+twhBBWIgmOsC+OrlD/8oniJ6x7oq2PmxPt6/kC0otD9jlYNByKc9T2GPKJeqRGDbRo+xkA7mofjo+bnDklRF0hCY6wP437qbdWnocD0KupetDshiN1eB5OQSZ8fRfkJkNAU/WMKYeaeQ5cWk4Raw6pR2yM6VLfxtEIIaxJEhxhf8rm4ZzZCsV5Vq26bB7O1pMXKS6tg7sa6wrhm3vh4lHwDIOxP4Cb+U8HN5dv/zpLqcFIh/q+NAv1snU4QggrkgRH2B//RuqxDfoSOLXRqlW3CPMi0NOZghI9OxMvWbVumzPo4YeH/t7rZuwP4BNp66iuSW8w8s2OswAy90aIOkgSHGF/FAViBqv3j6ywctUKvZqow1R1ah6O0Qi/Pav+vLXOcO8SCG5u66iua/PxdM5nFeLj5sigVqG2DkcIYWWS4Aj7FHOHenv0d9DrrFp12X44G+pSgrP5Xdg1D1Bg+JfqarYa7qfd5wEY2jZcloYLUQdJgiPsU71bwC0AirLg9J9WrfrWRgFoNQon0/M5m1lg1bptYtcC2PCGen/Qu9B8iG3jqYS84lLWHFbPDRsmG/sJUSdJgiPsk0YLMYPU+1YepvJ2daRD/TqyXPzISljxtHq/x7PQeaJNw6ms1QdTKNIZaBDgTusIb1uHI4SwAUlwhP1qdqd6m7BCPezRikzLxWvzsQ2Jm+G78erZX23HQJ9XbB1RpS3fe3l4ql04Sg3dn0cIYVmS4Aj7Fd0TnDwhLwXO7bRq1b2vWC5epKuFy8XP7VKXg+uLoelg+NdHNXYjv39Kyyliy4mLAAxpG2bjaIQQtiIJjrBfDs5/D1Md+M6qVceEeBLi5UKRzsD2xFp2unjqYVg8HEryIPo2uHsuaB1sHVWl/X4wBYMR2tXzob6/u63DEULYiCQ4wr61HqHeHvrRqqupFEW5YlfjWjQPJ/MUfD0MCi9BeEcYtQQcXWwdVZWsTVB3Lh7YIsTGkQghbEkSHGHfonuBexAUZKgnW1tR2a7Gm47Vknk4OcmwcKg65BfUAsZ8B84eto6qSvKKS9l+Su1R69ss2MbRCCFsSRIcYd+0DtDqbvX+/mVWrfrWRv44ahUSL+aTeDHfqnWbXX6G2nOTdQZ8o+G+n2r0EQzX8ufxdEr0BqL83WgYKMNTQtRlkuAI+9fqHvX2yG9QlGO1aj1dHOlYX00C7Hq5eOElWDQM0o+o50uN+xk87bP3Y22C2g59YoJl9ZQQdZwkOML+hbUD/8ZQWgSHl1u16t4xZcc22OkwVWGWejL4hX3qxonjloOvfZ66rTcYTfOhYpsF2TgaIYStSYIj7J+iQPv71Pt/zbNq1WXzcOJPZVBYYmfLxYtyYNFwSN4Nrn5w/y8Q2NTWUd20vWezyMgvwdPZgU7R9je8JoQwL0lwRO3QdgxondQ/1sl7rFZt4yAPwn1cKSk1EH/qotXqrbbiXFh8N5z/C1x91eQmuIWto6qW9UfU1VM9mwbiqJWPNiHqOvkUELWDe8DfOxtbsRfnyuXidjNMVZwHi++Bs9vBxVudcxPSytZRVdu6BBmeEkL8TRIcUXt0fEC9PfA9FGVbrdqyYap1CWkYjUar1XtTSvJhyUhIigdnb7hvOYS2sXVU1XY+q5AjKbloFOjVRBIcIYQkOKI2qd8NApqCLh/2LLJatd0bBeDqqOV8ViH7zlkvsaqysjk3Z/4EZy91KXh4e1tHZRZlZ4J1qO+Lr7uTjaMRQtQEkuCI2kNRoOvj6v34/1ltZ2NXJy19Lg+LrDxwwSp1VllBJiy88++em7E/QkQHW0dlNuuPqAmObO4nhCgjCY6oXVqPUnc2zjkHB3+0WrWDW4UCaoJT44ap8tJg/h3q5Gs3fxj/K0R2snVUZlOkh22XzwOT+TdCiDKS4IjaxdEFujyi3t/yX7BSstG7aRCujlrOXSrkwPkaNEyVfR7m3Q5ph8AjGMavrBVzbq50NEtBpzdS39+NhoH2dbSEEMJyJMERtU+nB8HRXf2jfmy1Vap0ddLSJ0btPfhtfw0ZpspMVJObjBPgFQETfoegGFtHZXaHLqk7FveJCZLdi4UQJpLgiNrH1Rc6P6TeX/86GAxWqfZfbdRhqp/2nKdUb506ryl5D8zp9/fZUg/8Dv4NbRuTBRgMRg5lqUlNrMy/EUJcQRIcUTvd+rS6Uij1ABz+ySpV9okJxt/dibTcYtOqHps4uV6dc5OfDsGt4IFV4FPPdvFY0L7z2eTpFDycHegUJbsXCyH+JgmOqJ3c/KDbk+r99W+AvtTiVTo5aBjeIQKAZTuTLF5fhfZ/q27iV5IH0T1hwm/gGWKbWKygLJHs0cgfJwf5OBNC/M2inwiZmZmMGTMGLy8vfHx8ePDBB8nLy7vm9adPn0ZRlAq/vvvuO9N1FT2/dOlSS74VYY9ueUxdNZR5Ev6aY5UqR3aKBGD9kTTOZxVapU5AnUy95SP4cSIYSqHlcBjzvbpTcS224fLy8D6XDz0VQogyFk1wxowZw6FDh4iLi2PFihVs3ryZhx9++JrXR0ZGcuHChXJf06ZNw8PDg9tvv73ctfPmzSt33dChQy35VoQ9cvaE3i+p99e/oS6XtrCGgR7c2sgfgxG+3HzK4vUBUFoCvz4Fca+o39/yBNz1FTg4W6d+Gzl3qYAjqXkoGLmtSYCtwxFC1DAWS3ASEhJYtWoVX331FV26dKF79+58/PHHLF26lOTk5Apfo9VqCQkJKff1008/MWLECDw8yi//9PHxKXedi4uLpd6KsGcdJqjLoouzYe1rVqny8V6NAFi6M4mLecWWrSw/A74eBrsXgqKBAW/CwDdBU/uHa9YfURPWaE/wdZPdi4UQ5TlYquD4+Hh8fHzo2LGj6bHY2Fg0Gg3bt29n2LBhNyxj165d7N27l08//fSq55544gkeeughGjRowKOPPsqECROuuUS0uLiY4uK//9Dk5OQAoNPp0OnMu9ttWXnmLlfcPGXA2zjMHwh7F1Pa8h6M9btfdY05261TPS9aR3ix/1wOH6w5ymv/albtMiuUfhSHb8egZJ3G6OSBftiXGBv1gzryb2/t4RQAWvga5PfNzsjnpH2qCe1WlbotluCkpKQQFFR+V1EHBwf8/PxISUmpVBlz5syhWbNmdOvWrdzj06dPp0+fPri5ubFmzRoef/xx8vLyeOqppyosZ+bMmUybNu2qx9esWYObm1sl31HVxMXFWaRccXPa+PcmKmMDJd8+xIaYNyjVulZ4nbnaraeXwn60LNmRRGhhIpFm3n8uJGsX7c98gWIoJN8pkO0NniH3mA6OrTRvRTVUsR62nNACCi19jfL7Zqek3eyTLdutoKCg0tdWOcF58cUXefvtt697TUJCQlWLvUphYSFLlizhlVdeueq5Kx9r164d+fn5vPvuu9dMcKZMmcLkyZNN3+fk5BAZGUn//v3x8vKqdqxX0ul0xMXF0a9fPxwdHc1atqiG4h4Yv+qFW9YZblc2ox/033JPW6LdEr/dz28HUvjxghffP3ILni7X/3UrKTVwqaAEJwfNtYdc9Do0G19Hm6j2ahoib8Hp7gX0cPM3S8z2Ys3hVPQ79hHp60Kwa578vtkZ+Zy0TzWh3cpGYCqjygnOs88+y/jx4697TYMGDQgJCSEtrfykztLSUjIzMwkJufGy1e+//56CggLGjRt3w2u7dOnCjBkzKC4uxtn56omVzs7OFT7u6OhosUayZNniJjj6wbDZMG8Qmn2L0TTqA63uvvoyM7bbtCEt2XUmi1MXC3j8m718Oa4jni7ly84u0LH+aCqrD6ay6Vg6hTo9AOE+rozoGMnEntG4OV3+Nc25AN8/AElb1e+7TkIT+xoabd37d7bxWAagHpGhKHny+2ZGer3e4kMQer0eBwcH9Ho9mjowX6y2sEa7OTo6otVqr/t8ZVU5wQkMDCQw8MZLMrt27UpWVha7du2iQwf11OL169djMBjo0qXLDV8/Z84c7rzzzkrVtXfvXnx9fStMYoQwqd8NejwLf7wHP0+CwKYQ0spi1QV4ODP7vg6M/Wo7205l0v+DzYy9pT4Rvq6czyrkj2MX2XE6E73h7/OyNAoYjHA+q5AP1h7j+91n+XJcR2Jy4uHnJ9TN+5w8Yein0HyIxWKvyfQGo2mCcZ+YQLKPWmm1Wi1nNBpJSUkhKyvLKnWFhIRw9uxZOV7Djlir3coWEVW3DovNwWnWrBkDBw5k4sSJzJ49G51Ox6RJkxg1ahRhYWEAnD9/nr59+7Jw4UI6d+5seu2JEyfYvHkzK1dePZ/g119/JTU1lVtuuQUXFxfi4uJ48803ee655yz1VkRt0vsl9RiDk+tg6Rh4aC14WO4E6raRPnwz8RYeX7KLs5mFvLv66FXXNA32pH+LYPo3D6FluBcFJXriDqfy7uqjZGReYv9nE4hR1qoXB7eEEQtr5bELlbUn6RIZ+SV4ujjQOcqXuKt/pOImlCU3QUFBuLm5WfQPmMFgIC8vDw8PD+nBsSOWbjej0UhBQYFp9Cc0NLRa5VkswQFYvHgxkyZNom/fvmg0GoYPH85HH31kel6n03H06NGrJg3NnTuXiIgI+vfvf1WZjo6OfPrppzzzzDMYjUYaNWrErFmzmDhxoiXfiqgtNFoY/hV82RsunYZFd8H430BrmcnmAK0ivFnz9G38tOc8fxxPJzO/hABPZzrW96V30yCiAtzLXe/u7MDQduH09ThN3tKXCdWr2yrktn0Yz8Ez1BPT67C4w6mAOjzlqJU/juag1+tNyY2/v+XncxkMBkpKSnBxcZEEx45Yo91cXdUFIGlpaQQFBV13uOpGLJrg+Pn5sWTJkms+HxUVhdFovOrxN998kzfffLPC1wwcOJCBAweaLUZRB7n5wdgfYe4ASDkAS0bCiGv/OzUHVycto7vUY3SXSpwJVZgF66bj+ddcPDGSrgTwf8UPU3C+O99pnKjrM03KEpx+zeVwTXMpm3NjqVWlQlRF2b9DnU5XrQRHUmdRN/k3VJMcZ29Iike7aChOusrPzrcIoxEO/gCfdr58tIQR2oxG98ifHHBqy96zWXy8/oRtY7SxE2l5nLqYj6NWoVdTOZ7B3GQ+jKgJzPXvUBIcUXeFtoZxy8HNH03KPnocnwHpR2wTS9J2tUfp+wcgLxX8G8H9v8KwzwgLCeXNYepk6P9tOMHx1FzbxFgDlPXe3NLA/6oVaUIIcSVJcETdFt4eHliN0SsCj+JUHOb1h73fqL0p1pB6CJbdB3P7w9nt4OAKvabAY1vV08Av+1ebMPo1D6bUYGTqz4cqHNqtC9Zc3r24vwxPict69erF008/Xenryw513rt3r1nL3bhxI4qiWGUVWlX88/1WNs6oqCg+/PBDi8dnSRadgyOEXQhoTOkDcVyaczdBuYdg+aNw6EcY9B741jd/fUYjJG2DPz+A46vVxxQNtB0Dvf8DXhWvHJh6R3M2H0sn/lQGv+6/wJ1twswfWw12NrOAPUlZKAr0b3HjvbRE3fDjjz9WaW+UskOdAwLUA1o3btxI7969uXTpEj4+Pjddrr3o1q0bFy5cwNvbG4D58+fz9NNPX5Xw7Ny5E3d39wpKsB/SgyMEgHsg8Q3/jf62KaB1guNr1Lkwv7+gbrBnDgWZsG02fHYrzBt4OblRoPlQeHQLDPnkmskNQKSfG0/0Vg/yfGfVEYpL9eaJy06s2K+2wy3R/gR71e2VZOJvfn5+eHp6Vvr6skOdHRyu///7qpZrL5ycnCq1x0xgYKDdTzqXBEeIMooGQ/dn1WQjqgeUFsH22fBhS3XPnIRfobgK81+MRrh4ArZ/AQuHwHuNYdULkHYIHFyg/f3w5C4YsQCCm1eqyIk9GhDk6cy5S4Us2Z50k2/UPv26T10u/6861nMlru+fQ0lRUVG8+eabPPDAA3h6elKvXj2++OIL0/NXDtmcPn2a3r17A+Dr64uiKKad+v9Z7tdff03Hjh3x9PQkJCSE0aNHX7Vb/41kZWXxyCOPEBwcjIuLCy1btmTFihWm53/44QdatGiBs7MzUVFRvP/+++Vef6P3BrBjxw7atWuHi4sLHTt2ZM+ePeWev3KIauPGjUyYMIHs7GwURUFRFF577TVTXVcOUSUlJTF06FAiIiLw8fFhxIgRpKammp5/7bXXaNu2LV9//TVRUVF4e3szatQocnNtN2dQhqiE+KfAJuoE31MbYdPbkBQPR1aoXxoHCGsHwS0goAm4+YOzp5rM6Aqh4CJcOgMZJ+D8LijMLF92SCs1sWl1N7j6Vjk0Vyctz/RrwpQfD/Dx+hPc3SGiTky2PZGWx+ELOThoFG5vKcNT1mA0Gk1Hh5ibwWCgsESPQ0lphfupuDpqq7WS5v3332fGjBm89NJLfP/99zz22GPcdtttNG3atNx1kZGR/PDDDwwfPpyjR4/i5eVl2ofln3Q6HTNmzKBp06akpaUxefJkxo8fX+GGtBUxGAzcfvvt5ObmsmjRIho2bMjhw4dNy6B37drFiBEjeO211xg5ciRbt27l8ccfx9/fv9zxSNd7b3l5edxxxx3069ePRYsWkZiYyP/93/9dM6Zu3brx4YcfMnXqVI4eVXfM9PC4+mRgg8HAkCFD8PDwYMWKFTg7O/Pkk08ycuRINm7caLru5MmTLF++nBUrVnDp0iVGjBjBW2+9xRtvvFGpn5G5SYIjREUUBRr2Vr9SD8PexWqCc+k0nNupflWG1hkiOkKTgRAz2Cw7EN/TIYIv/zjFqfR8vtx8isn9m974RXbupz3nAOjROABf92scRCrMqlCnp/nU1Tap+/D0AX+fwXYTBg0axOOPPw7ACy+8wAcffMCGDRuuSnC0Wi1+fn4ABAUFlZuD808PPPCA6X6DBg346KOP6NSpk2ln3xtZu3YtO3bsICEhgSZNmpjKKTNr1iz69u1rOky6SZMmHD58mHfffbdcgnO997ZkyRIMBgNz5szBxcWFFi1acO7cOR577LEKY3JycsLb2xtFUa57RuS6des4cOAAJ0+exNvbGy8vLxYuXEiLFi3YuXMnnTp1AtREaP78+aahvfvuu49169ZJgiNEjRXcHAa8oX5dOg1nd8DFY5BxEoqyoChH3SHZ0RVcvMGnPvhGQWhbCGkJDuY9I81Bq+H5ATE8umgXX/6RyNhb6hNUi+ek6PQGvvtLTXDu6Rhp42iEPWjdurXpftkf76oOJ/3Trl27eO2119i3bx+XLl3CYDAA6tBN8+Y3HmLeu3cvERERpuTmnxISEhgypPz5crfeeisffvgher3e1NNzvfeWkJBA69atcXH5+/Oga9euVXuj14gtMjKSyMhI02nezZs3x8fHh4SEBFOCExUVVW7eUmhoaLV/7tUhCY4QVeEbpX7Z2IAWwbSv58PupCw+WHucmXdZ7tBQW1t/JI203GICPJyIbSbLw63F1VHL4ekDLFK2wWAgNycXTy/Paw5RVcc/Vz8pimJKSG5Gfn4+AwYMYMCAASxevJjAwECSkpIYMGAAJSUllSrjWkNfVWXu92ZONS02mWQshB1SFIWXBjUDYNnOpFq9+d83O9TJ1MM7RODkIB9Z1qIoCm5ODhb7cnXSXvM5a+6o7OSkDnnq9deeb3TkyBEyMjJ466236NGjBzExMVXumWjdujXnzp3j2LFjFT7frFkztmzZUu6xLVu20KRJk0ofV9CsWTP2799PUVGR6bFt27Zd9zVOTk7Xfe9l5Z49e5azZ8+aHjt8+DBZWVmV6r2yFfm0EMJOdYzyY0CLYAxGeHuVjXZgtrCjKblsPJqOosC9nSpxjpcQVVS/fn0URWHFihWkp6eTl5d31TX16tXDycmJjz/+mFOnTvHLL78wY8aMKtVz22230bNnT4YPH05cXByJiYn8/vvvrFq1CoBnn32WdevWMWPGDI4dO8aCBQv45JNPeO655ypdx+jRo1EUhYkTJ3L48GFWrlzJe++9d93XREVFkZeXx7p167h48eJVh18DxMbG0qpVK+677z727dvHjh07GDduHLfddhsdO3as0s/BmiTBEcKOPT8wBq1GYW1CGttOZdg6HLP7fNNJAAa2CLnq1HUhzCE8PJxp06bx4osvEhwczKRJk666JjAwkPnz5/Pdd9/RvHlz3nrrrRsmDhX54Ycf6NSpE/feey/Nmzfn+eefN/WetG/fnm+//ZalS5fSsmVLpk6dyvTp08tNML4RDw8Pfv31Vw4cOEC7du34z3/+w9tvv33d13Tr1o1HH32UkSNHEhgYyDvvvHPVNYqi8PPPP+Pj48PgwYPp378/DRo0YNmyZVV6/9amGOvgnu85OTl4e3uTnZ2Nl5eXWcvW6XSsXLmSQYMG1cpdMGsre263V5Yf5OttZ2gT4c1Pj9+KRlM7Dkw8k5FPn/c3oTcY+fmJW2kT6XPVNfbcbjVJUVERiYmJREdHl5ugaikGg4GcnBy8vLwqnIMjaiZrtdv1/j1W5e+3/MsSws491bcx7k5a9p3L5vtd52wdjtm8veoIeoORnk0CK0xuhBDieiTBEcLOBXo683SsuvT0jZUJpOUW3eAVNV/8yQxWHkhBo8BLg2JsHY4Qwg5JgiNELTDh1ihahXuTXahj2i+H7fq08dwiHf/+fh8A93auR0yIeYeRhRB1gyQ4QtQCDloNM+9qhVaj8NuBCyzdefbGL6qBDAYj//5uP+cuFRLh68qLt0vvjRDi5kiCI0Qt0TLcm+cuH9vw6i+H2H8uy7YBVZHeYGTqLwdZdSgFJ62GD0e2rRPnbAkhLEMSHCFqkUd6NiC2WRAlpQbGz9vJiTT72AAwI6+YR77exaJt6qZ+797Tmo5RfjaOSghhzyTBEaIW0WgUPhjZltYR3mTmlzDy823sSMy88QttJLtQx6cbTtDvg82sTUjFUavw8b3tGNI23NahCSHsnJxFJUQt4+niyIIJnblv7nYOns9h9JfbeLhnAyb1aVStE5rNKSW7iLlbElmyPYm84lIAmgZ78v6INrQM97ZxdEKI2qBmfNoJIczK192J7x7pxvM/7OfXfcn8b+NJFm9PYlTnSP7VOowWYV5WPe+nTFJGAZ9tOskPu85RolcP4WsS7MEjPRtyZ9swHLXSqSyEMA/5NBGilnJ10vLxve34/L4O1Pd3I7tQx+ebTnHHx3/S890NvLkygd1JlzAYLL+kvEin5/01R4mdtYlvdiRRojfQKcqXueM7svrpngzvECHJjbAYo9HIww8/jJ+fH4qisHfvXluHVGmnT5+2u5ivNH/+fHx8fGxSt3yiCFHLDWgRwvpne/H5fR0Y2CIEF0cNZzML+WLzKe7631a6vbWeWWuOkpFXbJH6Ey/mc8fHf/Lx+hOU6A10bxTAt4905btHu9EnJtgmPUmi9omPj0er1TJ48OCrnlu1ahXz589nxYoVXLhwgZYtW6IoCsuXL7dYPD/++CP9+/fH39+/0gnK+PHjGTp0aLnHIiMjTTHbo5EjR5Y7Qf21116jbdu2VqlbhqiEqAO0GoUBLUIY0CKEgpJSNh1N5/eDKaw/kkZKThEfrT/B55tPMbFHA57o3QhXJ61Z6t10LJ0nl+wmp6iUIE9npg9pwYAWIZLUCLObM2cOTz75JHPmzCE5OZmwsDDTcydPniQ0NJRu3bqZvV6dTlfhOWj5+fl0796dESNGMHHixJsuX6vVEhISUp0QbcrV1RVXV1eb1C09OELUMW5ODtzeKpSP7m3HXy/H8snodrSO8Ka41MAnG04QO2sTm4+lV6sOo9HIF5tPMmHeDnKKSmlfz4cVT3VnYMtQSW6E2eXl5bFs2TIee+wxBg8ezPz5803PjR8/nieffJKkpCQURSEqKoqoqCgAhg0bZnqszM8//0z79u1xcXGhQYMGTJs2jdLSUtPziqLw2Wefceedd+Lu7s4bb7xRYUz33XcfU6dOJTY2tlLv4bXXXmPBggX8/PPPKIqCoihs3LjxqiGqjRs3oigKq1evpl27dri6utKnTx/S0tL4/fffadasGV5eXowePZqCggJT+QaDgZkzZxIdHY2rqytt2rTh+++/v25MFfVy1a9f3/TzLYvtxx9/pHfv3ri5udGmTRvi4+NN1185RDV//nymTZvGvn37TO/xyrYyN+nBEaIOc3HUckfrMAa3CmX1oVRmrDjM+axCxs3dwQO3RvP8wKa4OFatN6dIp2fKjwf4ac95AEZ2jGT60BY4O5inV0hYidEIuoIbX3czDAa17BItVHQqtaMbVCER/vbbb4mJiaFp06aMHTuWp59+milTpqAoCv/9739p2LAhX3zxBTt37kSrVf8dBgUFMW/ePAYOHGh67I8//mDcuHF89NFH9OjRg5MnT/Lwww8D8Oqrr5rqe+2113jrrbf48MMPcXAwz5/R5557joSEBHJycpg3bx4Afn5+JCcnV3j9a6+9xieffIKbmxsjRoxgxIgRODs7s2TJEvLy8hg2bBgff/wxL7zwAgAzZ85k0aJFzJ49m8aNG7N582bGjh1LYGAgt912W7Vi/89//sN7771H48aN+c9//sO9997LiRMnrvrZjBw5koMHD7Jq1SrWrl0LgLe35VZNSoIjhEBRFAa2DOG2JoHM/D2BhfFnmLslka0nLzJrRFuah1XuPKjzWYU8tmgX+89lo9UoTL2jOeO61pdeG3ukK4A3w2583U3QAD7Xu+ClZHByr3R5c+bMYezYsQAMHDiQ7OxsNm3aRK9evfD29sbT07PCoR4fH59yj02bNo0XX3yR+++/H4AGDRowY8YMnn/++XIJzujRo5kwYUKl46sMDw8PXF1dKS4urtSQ1Ouvv86tt94KwIMPPsiUKVM4efIkDRo0AODuu+9mw4YNvPDCCxQXF/Pmm2+ydu1aunbtanpvf/75J59//nm1E5znnnvONPdp2rRptGjRghMnThATU/6oFVdXVzw8PHBwcLDKsJskOEIIE1cnLdOHtOS2JoE8//1+jqTkMuTTP3k6tgmP9GyAw3VWOm06ls7TS/dwqUCHr5sjn45pT7eGAVaMXtRFR48eZceOHfz0008AODg4MHLkSObMmUOvXr2qVNa+ffvYsmVLuWEnvV5PUVERBQUFuLm5AdCxY0ezxX+zWrdubbofHByMm5ubKbkpe2zHjh0AnDhxgoKCAvr161eujJKSEtq1a2fWWEJDQwFIS0u7KsGxNklwhBBX6dssmNXP9OSlHw+w5nAq764+ym/7L/DcgCb0bhpUrkfmbGYBH649zg+7zwHQKtyb/41pT6Sfm63CF+bg6Kb2pFiAwWAgJzcXL09PNNcaoqqkOXPmUFpaWm5SsdFoxNnZmU8++aRKQyB5eXlMmzaNu+6666rnXFxcTPfd3Svfu2QpV05sVhTlqonOiqJgMKh7TeXl5QHw22+/ER5efpdwZ2fna9ahKApGY/ltJK6cj3StWABT3bYkCY4QokIBHs58fl8Hftpznld/OcThCzk8MP8vwrxd6Bjlh7uzlpNp+fx1JhODUZ0ycd8t9XlpULMqz9sRNZCiVGmYqEoMBnDUq+VXlOBUUmlpKQsXLuT999+nf//+5Z4bOnQo33zzDY8++miFr3V0dESv15d7rH379hw9epRGjRrddEzV4eTkdFVM5tC8eXOcnZ1JSkqq0nBUYGAgFy5cMH1//PjxchOXb4al3mNFJMERQlyToijc1T6CXk2D+HzTSRZtO0NydhG/7Cv/P/vujQJ4pl8TOtT3tVGkoi5asWIFly5d4sEHH7yqp2b48OHMmTPnmglOVFQU69at49Zbb8XZ2RlfX1+mTp3KHXfcQb169bj77rvRaDTs27ePgwcP8vrrr1cptszMTJKSkkyThI8ePQpASEjINeefREVFsXr1ao4ePYq/v7/ZJuB6enry3HPP8cwzz2AwGOjevTvZ2dls2bIFLy8v05yjf+rTpw+ffPIJXbt2Ra/X88ILL1S4JL4qoqKiSExMZO/evURERODp6XndXqTqkGXiQogb8nN3YsqgZux6pR/zxndiyu0xTO7XhHeGt2bzv3uz6KEuktwIq5szZw6xsbEVJgLDhw/nr7/+Yv/+/RW+9v333ycuLo7IyEjTPJQBAwawYsUK1qxZQ6dOnbjlllv44IMPqF+/fpVj++WXX2jXrp1p8u2oUaNo164ds2fPvuZrJk6cSNOmTenYsSOBgYFs2bKlyvVey4wZM3jllVeYOXMmzZo1Y+DAgfz2229ER0df8zXvv/8+kZGR9OjRg9GjRzN58uRq72kzfPhwBg4cSO/evQkMDOSbb76pVnnXoxj/OcBWB+Tk5ODt7U12djZeXpVbHVJZOp2OlStXMmjQoGpnusJ6pN3sk7SbeRQVFZGYmEh0dHS5uSaWYjAYyMnJwcvLq+I5OKJGsla7Xe/fY1X+flsswjfeeINu3brh5uZW6XMojEYjU6dOJTQ0FFdXV2JjYzl+/Hi5azIzMxkzZgxeXl74+Pjw4IMPmiZQCSGEEEKABROckpIS7rnnHh577LFKv+add97ho48+Yvbs2Wzfvh13d3cGDBhAUVGR6ZoxY8Zw6NAh4uLiWLFiBZs3bzZtxCSEEEIIARacZDxt2jSASm/DbDQa+fDDD3n55ZcZMmQIAAsXLiQ4OJjly5czatQoEhISWLVqFTt37jTtQ/Dxxx8zaNAg3nvvvXLLBIUQQghRd9WYVVSJiYmkpKSUO7fD29ubLl26EB8fz6hRo4iPj8fHx6fcJkuxsbFoNBq2b9/OsGHDKiy7uLiY4uK/T0rOyckB1PF7nU5n1vdRVp65yxWWJe1mn6TdzEOn02E0GjEYDFbZv6Rs6mdZncI+WKvdDAYDRqMRnU5nOkajTFV+12tMgpOSkgKouy9eKTg42PRcSkoKQUFB5Z53cHDAz8/PdE1FZs6caepRutKaNWtMO1OaW1xcnEXKFZYl7WafpN2qp2zr/Ly8PEpKSqxWb25urtXqEuZj6XYrKSmhsLCQzZs3X7WxYFX24alSgvPiiy/y9ttvX/eahIQEm2/P/E9Tpkxh8uTJpu9zcnKIjIykf//+FllFFRcXR79+/WRVhx2RdrNP0m7mUVxcTFJSEm5ubhb7T9+VjEYjubm5eHp6yjlldsRa7VZQUICrqyu33XbbVXvklI3AVEaVEpxnn32W8ePHX/eaK8/CqIqyjY9SU1NNZ1mUfd+2bVvTNWlpaeVeV1paSmZm5nUP7nJ2dq5wIyFHR0eLfShasmxhOdJu9knarXq0Wi1arZaUlBQCAwNxcnKy6B8wg8FASUkJxcXFskzcjli63YxGIyUlJaSnp6PVanFzc7uqnqr8nlcpwQkMDCQwMLAqL6m06OhoQkJCWLdunSmhycnJYfv27aaVWF27diUrK4tdu3bRoUMHANavX4/BYKBLly4WiUsIIWo7jUZDdHQ0Fy5cMO28a0lGo5HCwkJcXV2lB8eOWKvd3NzcqFevXrWTKIvNwUlKSjJtVa3X69m7dy8AjRo1wsPDA4CYmBhmzpzJsGHDUBSFp59+mtdff53GjRsTHR3NK6+8QlhYGEOHDgUw7b44ceJEZs+ejU6nY9KkSYwaNUpWUAkhRDU4OTlRr149SktLLX5WkE6nY/PmzfTs2VN63uyINdpNq9Xi4OBglgTKYgnO1KlTWbBggen7sq2wN2zYYDrC/ujRo2RnZ5uuef7558nPz+fhhx8mKyuL7t27s2rVqnI7GS5evJhJkybRt29fNBoNw4cP56OPPrLU2xBCiDqj7FRqSycdWq2W0tJSXFxcJMGxI/bWbhZLcObPn3/DPXD+eUqEoihMnz6d6dOnX/M1fn5+LFmyxBwhCiGEEKKWktldQgghhKh1JMERQgghRK1TYzb6s6ayobGqrKevLJ1OR0FBATk5OXYxRilU0m72SdrNPkm72aea0G5lf7f/OcWlInUywSnbhTEyMtLGkQghhBCiqnJzc/H29r7uNYqxMmlQLWMwGEhOTrbIboxluySfPXvW7LskC8uRdrNP0m72SdrNPtWEdivbTTksLOyG++TUyR4czf+3d6+xTZZ9GMCvdaVdm9l1bK7lVBhCmLKpg8ksoH6gceISjzFKKpmHaNARNzFD1KAfzNyin5QgHhLhg8giiUeCmGUDdMnYSTcow4EZZoawLTpLIUzZ1uv9tOfleZmHFze2Pbt+SZPtuf95et/PlXX/tL1bmw2zZ88e0/vweDz6w52ElNvkpNwmJ+U2OY13bn/3zM0wvclYRERELEcNjoiIiFiOGpxR5nQ68corr4z45Z4ycSm3yUm5TU7KbXKabLlNyTcZi4iIiLXpGRwRERGxHDU4IiIiYjlqcERERMRy1OCIiIiI5ajBGUVbt27FvHnzkJSUhPz8fDQ2No73lKaMiooK3HTTTbjqqquQkZGBe+65Bx0dHaaa33//HcXFxUhLS0NycjLuv/9+9PT0mGq6urpQWFgIt9uNjIwMlJWVYXBw0FRz4MABLFmyBE6nEwsWLMCOHTvGenlTRmVlJRISElBaWmocU24T06lTp/Dwww8jLS0NLpcLOTk5aG5uNsZJ4uWXX8aMGTPgcrkQCoVw4sQJ0zn6+voQDofh8Xjg9Xrx+OOP49y5c6aaw4cP45ZbbkFSUhLmzJmD119//Yqsz4qGhoawefNmZGZmwuVy4ZprrsGrr75q+l4nS+VGGRVVVVV0OBz84IMPePToUT7xxBP0er3s6ekZ76lNCQUFBdy+fTsjkQhbW1t55513MhAI8Ny5c0bNunXrOGfOHNbU1LC5uZk333wzly9fbowPDg4yOzuboVCI33//Pffu3cv09HS+8MILRk1nZyfdbjc3bNjA9vZ2btmyhYmJidy3b98VXa8VNTY2ct68ebz++utZUlJiHFduE09fXx/nzp3LRx55hA0NDezs7OTXX3/NH3/80aiprKxkSkoKP/vsM7a1tfGuu+5iZmYm+/v7jZo77riDN9xwAw8dOsRvv/2WCxYs4Jo1a4zxM2fO0OfzMRwOMxKJcNeuXXS5XHz33Xev6Hqtory8nGlpadyzZw9PnjzJ3bt3Mzk5mW+++aZRY6Xc1OCMkmXLlrG4uNj4fWhoiDNnzmRFRcU4zmrq6u3tJQAePHiQJBmNRjlt2jTu3r3bqDl27BgBsL6+niS5d+9e2mw2dnd3GzXbtm2jx+PhH3/8QZLcuHEjFy9ebLqvBx98kAUFBWO9JEs7e/YsFy5cyOrqat52221Gg6PcJqbnn3+eK1eu/NPxeDxOv9/PN954wzgWjUbpdDq5a9cukmR7ezsBsKmpyaj56quvmJCQwFOnTpEk3377baampho5Dt/3okWLRntJU0JhYSEfe+wx07H77ruP4XCYpPVy00tUo+DChQtoaWlBKBQyjtlsNoRCIdTX14/jzKauM2fOAACmT58OAGhpacHAwIApo6ysLAQCASOj+vp65OTkwOfzGTUFBQWIxWI4evSoUXPxOYZrlPO/U1xcjMLCwkuurXKbmL744gvk5eXhgQceQEZGBnJzc/H+++8b4ydPnkR3d7fpmqekpCA/P9+Um9frRV5enlETCoVgs9nQ0NBg1Nx6661wOBxGTUFBATo6OvDbb7+N9TItZ/ny5aipqcHx48cBAG1tbairq8Pq1asBWC+3Kfllm6Ptl19+wdDQkOkBFgB8Ph9++OGHcZrV1BWPx1FaWooVK1YgOzsbANDd3Q2HwwGv12uq9fl86O7uNmpGynB47K9qYrEY+vv74XK5xmJJllZVVYXvvvsOTU1Nl4wpt4mps7MT27Ztw4YNG/Diiy+iqakJzzzzDBwOB4qKiozrPtI1vziTjIwM07jdbsf06dNNNZmZmZecY3gsNTV1TNZnVZs2bUIsFkNWVhYSExMxNDSE8vJyhMNhALBcbmpwxHKKi4sRiURQV1c33lORv/Hzzz+jpKQE1dXVSEpKGu/pyD8Uj8eRl5eH1157DQCQm5uLSCSCd955B0VFReM8O/kzH3/8MXbu3ImPPvoIixcvRmtrK0pLSzFz5kxL5qaXqEZBeno6EhMTL9nZ0dPTA7/fP06zmprWr1+PPXv2YP/+/Zg9e7Zx3O/348KFC4hGo6b6izPy+/0jZjg89lc1Ho9HzwJchpaWFvT29mLJkiWw2+2w2+04ePAg3nrrLdjtdvh8PuU2Ac2YMQPXXXed6di1116Lrq4uAP+97n/1mOj3+9Hb22saHxwcRF9f3/+VrfxzZWVl2LRpEx566CHk5ORg7dq1ePbZZ1FRUQHAermpwRkFDocDS5cuRU1NjXEsHo+jpqYGwWBwHGc2dZDE+vXr8emnn6K2tvaSp0eXLl2KadOmmTLq6OhAV1eXkVEwGMSRI0dMf7zV1dXweDzGg3kwGDSdY7hGOV+eVatW4ciRI2htbTVueXl5CIfDxs/KbeJZsWLFJR/DcPz4ccydOxcAkJmZCb/fb7rmsVgMDQ0Nptyi0ShaWlqMmtraWsTjceTn5xs133zzDQYGBoya6upqLFq0SC9PXYbz58/DZjP/209MTEQ8Hgdgwdyu6FuaLayqqopOp5M7duxge3s7n3zySXq9XtPODhk7Tz31FFNSUnjgwAGePn3auJ0/f96oWbduHQOBAGtra9nc3MxgMMhgMGiMD283vv3229na2sp9+/bx6quvHnG7cVlZGY8dO8atW7dqu/Eou3gXFancJqLGxkba7XaWl5fzxIkT3LlzJ91uNz/88EOjprKykl6vl59//jkPHz7Mu+++e8Ttxrm5uWxoaGBdXR0XLlxo2m4cjUbp8/m4du1aRiIRVlVV0e12a5v4ZSoqKuKsWbOMbeKffPIJ09PTuXHjRqPGSrmpwRlFW7ZsYSAQoMPh4LJly3jo0KHxntKUAWDE2/bt242a/v5+Pv3000xNTaXb7ea9997L06dPm87z008/cfXq1XS5XExPT+dzzz3HgYEBU83+/ft544030uFwcP78+ab7kH/vfxsc5TYxffnll8zOzqbT6WRWVhbfe+8903g8HufmzZvp8/nodDq5atUqdnR0mGp+/fVXrlmzhsnJyfR4PHz00Ud59uxZU01bWxtXrlxJp9PJWbNmsbKycszXZlWxWIwlJSUMBAJMSkri/Pnz+dJLL5m2c1sptwTyoo8wFBEREbEAvQdHRERELEcNjoiIiFiOGhwRERGxHDU4IiIiYjlqcERERMRy1OCIiIiI5ajBEREREctRgyMiIiKWowZHRERELEcNjoiIiFiOGhwRERGxHDU4IiIiYjn/AdCemi9ZOUQbAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Add channel dimension\n",
        "a = a[:, jnp.newaxis, :]\n",
        "u = u[:, jnp.newaxis, :]"
      ],
      "metadata": {
        "id": "-HxPsJkNOO7Z"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Mesh is from 0 to 2 pi\n",
        "mesh = jnp.linspace(0, 2 * jnp.pi, u.shape[-1])"
      ],
      "metadata": {
        "id": "wheBgm8KO1ec"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(mesh, a[0, 0], label=\"initial condition\")\n",
        "plt.plot(mesh, u[0, 0], label=\"After 1 time unit\")\n",
        "plt.legend()\n",
        "plt.grid()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "kSawGdheO9Wm",
        "outputId": "f10d522a-edc4-4b5a-cb32-70d7d0195163"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "mesh_shape_corrected = jnp.repeat(mesh[jnp.newaxis, jnp.newaxis, :], u.shape[0], axis=0)\n",
        "a_with_mesh = jnp.concatenate((a, mesh_shape_corrected), axis=1)"
      ],
      "metadata": {
        "id": "2otVCwJYPB5l"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "a_with_mesh.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "PrOY1mbmPjMI",
        "outputId": "e1e692cf-d3d9-4536-f740-ca2b0e14cb09"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(2048, 2, 8192)"
            ]
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "train_x, test_x = a_with_mesh[:1000], a_with_mesh[1000:1200]\n",
        "train_y, test_y = u[:1000], u[1000:1200]"
      ],
      "metadata": {
        "id": "44DsZARuPk5Z"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "class SpectralConv1d(eqx.Module):\n",
        "    real_weights: jax.Array\n",
        "    imag_weights: jax.Array\n",
        "    in_channels: int\n",
        "    out_channels: int\n",
        "    modes: int\n",
        "\n",
        "    def __init__(\n",
        "            self,\n",
        "            in_channels,\n",
        "            out_channels,\n",
        "            modes,\n",
        "            *,\n",
        "            key,\n",
        "    ):\n",
        "        self.in_channels = in_channels\n",
        "        self.out_channels = out_channels\n",
        "        self.modes = modes\n",
        "\n",
        "        scale = 1.0 / (in_channels * out_channels)\n",
        "\n",
        "        real_key, imag_key = jax.random.split(key)\n",
        "        self.real_weights = jax.random.uniform(\n",
        "            real_key,\n",
        "            (in_channels, out_channels, modes),\n",
        "            minval=-scale,\n",
        "            maxval=+scale,\n",
        "        )\n",
        "        self.imag_weights = jax.random.uniform(\n",
        "            imag_key,\n",
        "            (in_channels, out_channels, modes),\n",
        "            minval=-scale,\n",
        "            maxval=+scale,\n",
        "        )\n",
        "\n",
        "    def complex_mult1d(\n",
        "            self,\n",
        "            x_hat,\n",
        "            w,\n",
        "    ):\n",
        "        return jnp.einsum(\"iM,ioM->oM\", x_hat, w)\n",
        "\n",
        "\n",
        "    def __call__(\n",
        "            self,\n",
        "            x,\n",
        "    ):\n",
        "        channels, spatial_points = x.shape\n",
        "\n",
        "        # shape of x_hat is (in_channels, spatial_points//2+1)\n",
        "        x_hat = jnp.fft.rfft(x)\n",
        "        # shape of x_hat_under_modes is (in_channels, self.modes)\n",
        "        x_hat_under_modes = x_hat[:, :self.modes]\n",
        "        weights = self.real_weights + 1j * self.imag_weights\n",
        "        # shape of out_hat_under_modes is (out_channels, self.modes)\n",
        "        out_hat_under_modes = self.complex_mult1d(x_hat_under_modes, weights)\n",
        "\n",
        "        # shape of out_hat is (out_channels, spatial_points//2+1)\n",
        "        out_hat = jnp.zeros(\n",
        "            (self.out_channels, x_hat.shape[-1]),\n",
        "            dtype=x_hat.dtype\n",
        "        )\n",
        "        out_hat = out_hat.at[:, :self.modes].set(out_hat_under_modes)\n",
        "\n",
        "        out = jnp.fft.irfft(out_hat, n=spatial_points)\n",
        "\n",
        "        return out\n"
      ],
      "metadata": {
        "id": "5br9kvvYPydk"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "class FNOBlock1d(eqx.Module):\n",
        "    spectral_conv: SpectralConv1d\n",
        "    bypass_conv: eqx.nn.Conv1d\n",
        "    activation: Callable\n",
        "\n",
        "    def __init__(\n",
        "            self,\n",
        "            in_channels,\n",
        "            out_channels,\n",
        "            modes,\n",
        "            activation,\n",
        "            *,\n",
        "            key,\n",
        "    ):\n",
        "        spectral_conv_key, bypass_conv_key = jax.random.split(key)\n",
        "        self.spectral_conv = SpectralConv1d(\n",
        "            in_channels,\n",
        "            out_channels,\n",
        "            modes,\n",
        "            key=spectral_conv_key,\n",
        "        )\n",
        "        self.bypass_conv = eqx.nn.Conv1d(\n",
        "            in_channels,\n",
        "            out_channels,\n",
        "            1,  # Kernel size is one\n",
        "            key=bypass_conv_key,\n",
        "        )\n",
        "        self.activation = activation\n",
        "\n",
        "    def __call__(\n",
        "            self,\n",
        "            x,\n",
        "    ):\n",
        "        return self.activation(\n",
        "            self.spectral_conv(x) + self.bypass_conv(x)\n",
        "        )"
      ],
      "metadata": {
        "id": "R_5U3sSOUGRo"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "class FNO1d(eqx.Module):\n",
        "    lifting: eqx.nn.Conv1d\n",
        "    fno_blocks: List[FNOBlock1d]\n",
        "    projection: eqx.nn.Conv1d\n",
        "\n",
        "    def __init__(\n",
        "            self,\n",
        "            in_channels,\n",
        "            out_channels,\n",
        "            modes,\n",
        "            width,\n",
        "            activation,\n",
        "            n_blocks = 4,\n",
        "            *,\n",
        "            key,\n",
        "    ):\n",
        "        key, lifting_key = jax.random.split(key)\n",
        "        self.lifting = eqx.nn.Conv1d(\n",
        "            in_channels,\n",
        "            width,\n",
        "            1,\n",
        "            key=lifting_key,\n",
        "        )\n",
        "\n",
        "        self.fno_blocks = []\n",
        "        for i in range(n_blocks):\n",
        "            key, subkey = jax.random.split(key)\n",
        "            self.fno_blocks.append(FNOBlock1d(\n",
        "                width,\n",
        "                width,\n",
        "                modes,\n",
        "                activation,\n",
        "                key=subkey,\n",
        "            ))\n",
        "\n",
        "        key, projection_key = jax.random.split(key)\n",
        "        self.projection = eqx.nn.Conv1d(\n",
        "            width,\n",
        "            out_channels,\n",
        "            1,\n",
        "            key=projection_key,\n",
        "        )\n",
        "\n",
        "    def __call__(\n",
        "            self,\n",
        "            x,\n",
        "    ):\n",
        "        x = self.lifting(x)\n",
        "\n",
        "        for fno_block in self.fno_blocks:\n",
        "            x = fno_block(x)\n",
        "\n",
        "        x = self.projection(x)\n",
        "\n",
        "        return x"
      ],
      "metadata": {
        "id": "AS-gz_rCVRJh"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "fno = FNO1d(\n",
        "    2,\n",
        "    1,\n",
        "    16,\n",
        "    64,\n",
        "    jax.nn.relu,\n",
        "    key=jax.random.PRNGKey(0),\n",
        ")"
      ],
      "metadata": {
        "id": "5SPtzCnGlfY6"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def dataloader(\n",
        "    key,\n",
        "    dataset_x,\n",
        "    dataset_y,\n",
        "    batch_size,\n",
        "):\n",
        "    n_samples = dataset_x.shape[0]\n",
        "\n",
        "    n_batches = int(jnp.ceil(n_samples / batch_size))\n",
        "\n",
        "    permutation = jax.random.permutation(key, n_samples)\n",
        "\n",
        "    for batch_id in range(n_batches):\n",
        "        start = batch_id * batch_size\n",
        "        end = min((batch_id + 1) * batch_size, n_samples)\n",
        "\n",
        "        batch_indices = permutation[start:end]\n",
        "\n",
        "        yield dataset_x[batch_indices], dataset_y[batch_indices]"
      ],
      "metadata": {
        "id": "crHtqJpulx5c"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def loss_fn(model, x, y):\n",
        "    y_pred = jax.vmap(model)(x)\n",
        "    loss = jnp.mean(jnp.square(y_pred - y))\n",
        "    return loss\n",
        "\n",
        "optimizer = optax.adam(3e-4)\n",
        "opt_state = optimizer.init(eqx.filter(fno, eqx.is_array))\n",
        "\n",
        "@eqx.filter_jit\n",
        "def make_step(model, state, x, y):\n",
        "    loss, grad = eqx.filter_value_and_grad(loss_fn)(model, x, y)\n",
        "    val_loss = loss_fn(model, test_x[..., ::32], test_y[..., ::32])\n",
        "    updates, new_state = optimizer.update(grad, state, model)\n",
        "    new_model = eqx.apply_updates(model, updates)\n",
        "    return new_model, new_state, loss, val_loss\n",
        "\n",
        "loss_history = []\n",
        "val_loss_history = []\n",
        "\n",
        "shuffle_key = jax.random.PRNGKey(10)\n",
        "for epoch in tqdm(range(200)):\n",
        "    shuffle_key, subkey = jax.random.split(shuffle_key)\n",
        "    for (batch_x, batch_y) in dataloader(\n",
        "        subkey,\n",
        "        train_x[..., ::32],\n",
        "        train_y[..., ::32],\n",
        "        batch_size=100,\n",
        "    ):\n",
        "        fno, opt_state, loss, val_loss = make_step(fno, opt_state, batch_x, batch_y)\n",
        "        loss_history.append(loss)\n",
        "        val_loss_history.append(val_loss)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 49,
          "referenced_widgets": [
            "11f197df846b4937aee3ae7247ea7e49",
            "c347999edf2b49a4b0d97168351acef4",
            "5460ce4536bb495c961f75c5c08682c4",
            "c5529839d8a745b38671f36bd70340a9",
            "ff5d3c10a75349d0a9ac8ee67b374dbd",
            "7e4d6b48b54549e08f7bebabf5f496c9",
            "5a47fc6ee2e443eca0619f57e544bb48",
            "a163dd17b38f4f0f87d1afa126616c19",
            "364cc5ece12c466cabff7ed00f5e41c4",
            "0b003981ceac443383fd81b5f066eb79",
            "83b16672ec784976bc4dd3b84b64eda5"
          ]
        },
        "id": "fBVjXTPTpZte",
        "outputId": "b6e0ddc3-13b6-47b8-b962-b441913fd7c8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/200 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "11f197df846b4937aee3ae7247ea7e49"
            }
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(loss_history, label=\"train loss\")\n",
        "plt.plot(val_loss_history, label=\"val loss\")\n",
        "plt.legend()\n",
        "plt.yscale(\"log\")\n",
        "plt.grid()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "I7qCssn3qm8Z",
        "outputId": "626b7fff-df03-432b-8be5-adb18e668724"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(test_x[1, 0, ::32], label=\"Initial condition\")\n",
        "plt.plot(test_y[1, 0, ::32], label=\"Ground Truth\")\n",
        "plt.plot(fno(test_x[1, :, ::32])[0], label=\"FNO prediction\")\n",
        "plt.legend()\n",
        "plt.grid()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "1f_4epwlrMJm",
        "outputId": "995d25f1-0c53-4c0e-8906-5f72aff12117"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(fno(test_x[1, :, ::32])[0] - test_y[1, 0, ::32], label=\"Difference\")\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "g0uh-4Nwr5Qx",
        "outputId": "f8f10f52-e816-4243-f085-de92987d96d4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7e571739d390>"
            ]
          },
          "metadata": {},
          "execution_count": 35
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Zero-Shot superresolution\n",
        "plt.plot(test_x[1, 0, ::4], label=\"Initial condition\")\n",
        "plt.plot(test_y[1, 0, ::4], label=\"Ground Truth\")\n",
        "plt.plot(fno(test_x[1, :, ::4])[0], label=\"FNO prediction\")\n",
        "plt.legend()\n",
        "plt.grid()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "ZYkXHoi2sYCm",
        "outputId": "50c85ff2-25e1-49c2-b272-162dc1f23c3d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(fno(test_x[1, :, ::4])[0] - test_y[1, 0, ::4], label=\"Difference\")\n",
        "plt.legend()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "-HTX1O1Ds903",
        "outputId": "d89097d3-4d72-43c8-a829-b7ca18ca3c96"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7e571a8d61a0>"
            ]
          },
          "metadata": {},
          "execution_count": 37
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Compute the error as reported in the FNO paper\n",
        "test_pred = jax.vmap(fno)(test_x)\n",
        "\n",
        "def relative_l2_norm(pred, ref):\n",
        "    diff_norm = jnp.linalg.norm(pred - ref)\n",
        "    ref_norm = jnp.linalg.norm(ref)\n",
        "    return diff_norm / ref_norm\n",
        "\n",
        "rel_l2_set = jax.vmap(relative_l2_norm)(test_pred, test_y)"
      ],
      "metadata": {
        "id": "nIczZgivtNas"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "rel_l2_set.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Ga0rW-_2uOAv",
        "outputId": "51f9db74-daed-45e5-9405-d8e4d69d6a4f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(200,)"
            ]
          },
          "metadata": {},
          "execution_count": 39
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "jnp.mean(rel_l2_set) # ~1e-2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "w_IhEWTyuRVy",
        "outputId": "2f9e976b-58c9-42cd-e135-c4126d1bab89"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Array(0.00950637, dtype=float32)"
            ]
          },
          "metadata": {},
          "execution_count": 40
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "wqGdOzQ-uVwS"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}